Diagonal of Isosceles Trapezoid given Height Calculator

✖Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.ⓘ Height of Isosceles Trapezoid [h]			+10% -10%
✖Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Long Base of Isosceles Trapezoid [B_Long]			+10% -10%
✖Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Short Base of Isosceles Trapezoid [B_Short]			+10% -10%

✖Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.ⓘ Diagonal of Isosceles Trapezoid given Height [d]

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Diagonal of Isosceles Trapezoid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4)
d = sqrt(h^2+((B_Long+B_Short)^2)/4)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diagonal of Isosceles Trapezoid - (Measured in Meter) - Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.
Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Height of Isosceles Trapezoid: 4 Meter --> 4 Meter No Conversion Required
Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Isosceles Trapezoid: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(h^2+((B_Long+B_Short)^2)/4) --> sqrt(4^2+((15+9)^2)/4)

Evaluating ... ...

d = 12.6491106406735

STEP 3: Convert Result to Output's Unit

12.6491106406735 Meter --> No Conversion Required

FINAL ANSWER

12.6491106406735 ≈ 12.64911 Meter <-- Diagonal of Isosceles Trapezoid

(Calculation completed in 00.011 seconds)

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< Diagonal of Isosceles Trapezoid Calculators

Diagonal of Isosceles Trapezoid given Short Base and Obtuse Angle

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Short Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Short Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Short Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2+(2*Short Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)))

Diagonal of Isosceles Trapezoid given Long Base and Obtuse Angle

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2+(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))

Diagonal of Isosceles Trapezoid given Long Base and Acute Angle

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)))

< Diagonal of Isosceles Trapezoid Calculators

Diagonal of Isosceles Trapezoid given Height

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4)

Diagonal of Isosceles Trapezoid

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt((Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)+Lateral Edge of Isosceles Trapezoid^2)

Diagonal of Isosceles Trapezoid given Central Median and Height

LaTeX Go Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+Central Median of Isosceles Trapezoid^2)

Diagonal of Isosceles Trapezoid given Height Formula

LaTeX Go

Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4)
d = sqrt(h^2+((B_Long+B_Short)^2)/4)

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Diagonal of Isosceles Trapezoid given Height?

Diagonal of Isosceles Trapezoid given Height calculator uses Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4) to calculate the Diagonal of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid given Height formula is defined as the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, and calculated using the height of the Isosceles Trapezoid. Diagonal of Isosceles Trapezoid is denoted by d symbol.

How to calculate Diagonal of Isosceles Trapezoid given Height using this online calculator? To use this online calculator for Diagonal of Isosceles Trapezoid given Height, enter Height of Isosceles Trapezoid (h), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button. Here is how the Diagonal of Isosceles Trapezoid given Height calculation can be explained with given input values -> 12.64911 = sqrt(4^2+((15+9)^2)/4).

FAQ

What is Diagonal of Isosceles Trapezoid given Height?

Diagonal of Isosceles Trapezoid given Height formula is defined as the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, and calculated using the height of the Isosceles Trapezoid and is represented as d = sqrt(h^2+((B_Long+B_Short)^2)/4) or Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4). Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid, Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid & Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

How to calculate Diagonal of Isosceles Trapezoid given Height?

Diagonal of Isosceles Trapezoid given Height formula is defined as the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, and calculated using the height of the Isosceles Trapezoid is calculated using Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)/4). To calculate Diagonal of Isosceles Trapezoid given Height, you need Height of Isosceles Trapezoid (h), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short). With our tool, you need to enter the respective value for Height of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base of Isosceles Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal of Isosceles Trapezoid?

In this formula, Diagonal of Isosceles Trapezoid uses Height of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base of Isosceles Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)))
Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2+(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))
Diagonal of Isosceles Trapezoid = sqrt(Short Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Short Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))

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