Base of Isosceles Triangle given Legs and Circumradius Calculator

✖The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.ⓘ Legs of Isosceles Triangle [S_Legs]			+10% -10%
✖The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.ⓘ Circumradius of Isosceles Triangle [r_c]			+10% -10%

✖Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.ⓘ Base of Isosceles Triangle given Legs and Circumradius [S_Base]

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Base of Isosceles Triangle given Legs and Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)
S_Base = sqrt(4*S_Legs^2-S_Legs^4/r_c^2)
This formula uses 1 Functions, 3 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

Base of Isosceles Triangle - (Measured in Meter) - Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.
Legs of Isosceles Triangle - (Measured in Meter) - The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.
Circumradius of Isosceles Triangle - (Measured in Meter) - The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.

STEP 1: Convert Input(s) to Base Unit

Legs of Isosceles Triangle: 9 Meter --> 9 Meter No Conversion Required
Circumradius of Isosceles Triangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Base = sqrt(4*S_Legs^2-S_Legs^4/r_c^2) --> sqrt(4*9^2-9^4/5^2)

Evaluating ... ...

S_Base = 7.84601809837321

STEP 3: Convert Result to Output's Unit

7.84601809837321 Meter --> No Conversion Required

FINAL ANSWER

7.84601809837321 ≈ 7.846018 Meter <-- Base of Isosceles Triangle

(Calculation completed in 00.020 seconds)

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< Isosceles Triangle Calculators

Base of Isosceles Triangle given Legs and Circumradius

LaTeX Go Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)

< Other Formulas of Isosceles Triangle Calculators

Base of Isosceles Triangle given Legs and Circumradius

LaTeX Go Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)

Height of Isosceles Triangle from Vertex

LaTeX Go Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)

Base Angles of Isosceles Triangle given Vertex Angle

LaTeX Go Base Angles of Isosceles Triangle = (pi-Vertex Angle of Isosceles Triangle)/2

Angles of Bisector of Isosceles Triangle at Vertex

LaTeX Go Angles of Bisector of Isosceles Triangle = Vertex Angle of Isosceles Triangle/2

Base of Isosceles Triangle given Legs and Circumradius Formula

LaTeX Go

Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)
S_Base = sqrt(4*S_Legs^2-S_Legs^4/r_c^2)

What is an Isosceles triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

How to Calculate Base of Isosceles Triangle given Legs and Circumradius?

Base of Isosceles Triangle given Legs and Circumradius calculator uses Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2) to calculate the Base of Isosceles Triangle, Base of Isosceles Triangle given Legs and Circumradius formula is defined as the length of the unequal side of the Isosceles Triangle, calculated using its legs and circumradius. Base of Isosceles Triangle is denoted by S_Base symbol.

How to calculate Base of Isosceles Triangle given Legs and Circumradius using this online calculator? To use this online calculator for Base of Isosceles Triangle given Legs and Circumradius, enter Legs of Isosceles Triangle (S_Legs) & Circumradius of Isosceles Triangle (r_c) and hit the calculate button. Here is how the Base of Isosceles Triangle given Legs and Circumradius calculation can be explained with given input values -> 7.846018 = sqrt(4*9^2-9^4/5^2).

FAQ

What is Base of Isosceles Triangle given Legs and Circumradius?

Base of Isosceles Triangle given Legs and Circumradius formula is defined as the length of the unequal side of the Isosceles Triangle, calculated using its legs and circumradius and is represented as S_Base = sqrt(4*S_Legs^2-S_Legs^4/r_c^2) or Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2). The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle & The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.

How to calculate Base of Isosceles Triangle given Legs and Circumradius?

Base of Isosceles Triangle given Legs and Circumradius formula is defined as the length of the unequal side of the Isosceles Triangle, calculated using its legs and circumradius is calculated using Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2). To calculate Base of Isosceles Triangle given Legs and Circumradius, you need Legs of Isosceles Triangle (S_Legs) & Circumradius of Isosceles Triangle (r_c). With our tool, you need to enter the respective value for Legs of Isosceles Triangle & Circumradius of Isosceles Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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