Long Base of Right Trapezoid given both Sides and Short base Calculator

✖The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.ⓘ Short Base of Right Trapezoid [B_Short]			+10% -10%
✖Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.ⓘ Slant Side of Right Trapezoid [S_Slant]			+10% -10%
✖Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.ⓘ Right Angle Side of Right Trapezoid [S_∠Right]			+10% -10%

✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid given both Sides and Short base [B_Long]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 2D Geometry Formula PDF PDF Image

Long Base of Right Trapezoid given both Sides and Short base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)
B_Long = B_Short+sqrt(S_Slant^2-S_∠Right^2)
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

Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
Slant Side of Right Trapezoid - (Measured in Meter) - Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.
Right Angle Side of Right Trapezoid - (Measured in Meter) - Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Slant Side of Right Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Right Angle Side of Right Trapezoid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Long = B_Short+sqrt(S_Slant^2-S_∠Right^2) --> 15+sqrt(11^2-10^2)

Evaluating ... ...

B_Long = 19.5825756949558

STEP 3: Convert Result to Output's Unit

19.5825756949558 Meter --> No Conversion Required

FINAL ANSWER

19.5825756949558 ≈ 19.58258 Meter <-- Long Base of Right Trapezoid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Right Trapezoid » Base of Right Trapezoid » Long Base of Right Trapezoid » Long Base of Right Trapezoid given both Sides and Short base

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Long Base of Right Trapezoid Calculators

Long Base of Right Trapezoid given both Sides and Short base

LaTeX Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle

LaTeX Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))

Long Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle

LaTeX Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))

Long Base of Right Trapezoid given Central Median and Short base

LaTeX Go Long Base of Right Trapezoid = 2*Central Median of Right Trapezoid-Short Base of Right Trapezoid

Long Base of Right Trapezoid given both Sides and Short base Formula

LaTeX Go

Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)
B_Long = B_Short+sqrt(S_Slant^2-S_∠Right^2)

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

How to Calculate Long Base of Right Trapezoid given both Sides and Short base?

Long Base of Right Trapezoid given both Sides and Short base calculator uses Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2) to calculate the Long Base of Right Trapezoid, Long Base of Right Trapezoid given both Sides and Short base formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using both sides and short base. Long Base of Right Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Right Trapezoid given both Sides and Short base using this online calculator? To use this online calculator for Long Base of Right Trapezoid given both Sides and Short base, enter Short Base of Right Trapezoid (B_Short), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right) and hit the calculate button. Here is how the Long Base of Right Trapezoid given both Sides and Short base calculation can be explained with given input values -> 19.58258 = 15+sqrt(11^2-10^2).

FAQ

What is Long Base of Right Trapezoid given both Sides and Short base?

Long Base of Right Trapezoid given both Sides and Short base formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using both sides and short base and is represented as B_Long = B_Short+sqrt(S_Slant^2-S_∠Right^2) or Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2). The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid, Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid & Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

How to calculate Long Base of Right Trapezoid given both Sides and Short base?

Long Base of Right Trapezoid given both Sides and Short base formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using both sides and short base is calculated using Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2). To calculate Long Base of Right Trapezoid given both Sides and Short base, you need Short Base of Right Trapezoid (B_Short), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right). With our tool, you need to enter the respective value for Short Base of Right Trapezoid, Slant Side of Right Trapezoid & Right Angle Side of Right 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 Long Base of Right Trapezoid?

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

Long Base of Right Trapezoid = 2*Central Median of Right Trapezoid-Short Base of Right Trapezoid
Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))
Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))

Home

FREE PDFs

🔍 Search