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Base of Isosceles Triangle given Legs and Circumradius Formula

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Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle. Check FAQs

S Base = \sqrt{4 \cdot {S Legs}^{2} - \frac{{S Legs}^{4}}{{r c}^{2}}}

S_Base - Base of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?r_c - Circumradius of Isosceles Triangle?

Base of Isosceles Triangle given Legs and Circumradius Example

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Here is how the Base of Isosceles Triangle given Legs and Circumradius equation looks like with Values.

Here is how the Base of Isosceles Triangle given Legs and Circumradius equation looks like with Units.

Here is how the Base of Isosceles Triangle given Legs and Circumradius equation looks like.

7.846 = \sqrt{4 \cdot 9^{2} - \frac{9^{4}}{5^{2}}}

7.846m = \sqrt{4 \cdot {9m}^{2} - \frac{{9m}^{4}}{{5m}^{2}}}

7.846 = \sqrt{4 \cdot 9^{2} - \frac{9^{4}}{5^{2}}}

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Base of Isosceles Triangle given Legs and Circumradius Solution

Follow our step by step solution on how to calculate Base of Isosceles Triangle given Legs and Circumradius?

FIRST Step Consider the formula

S Base = \sqrt{4 \cdot {S Legs}^{2} - \frac{{S Legs}^{4}}{{r c}^{2}}}

Next Step Substitute values of Variables

∴

S Base = \sqrt{4 \cdot {9m}^{2} - \frac{{9m}^{4}}{{5m}^{2}}}

Next Step Prepare to Evaluate

∴

S Base = \sqrt{4 \cdot 9^{2} - \frac{9^{4}}{5^{2}}}

Next Step Evaluate

∴

S Base = 7.84601809837321m

LAST Step Rounding Answer

∴

S Base = 7.846m

Base of Isosceles Triangle given Legs and Circumradius Formula Elements

Variables

Functions

Base of Isosceles Triangle

Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

Symbol: S_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base of Isosceles Triangle

Legs of Isosceles Triangle

The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

Symbol: S_Legs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Legs of Isosceles Triangle

Circumradius of Isosceles Triangle

The Circumradius of Isosceles Triangle is the radius of a circumcircle touching each of the Isosceles Triangle's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Isosceles Triangle

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.

Syntax: sqrt(Number)

Other formulas in Isosceles Triangle category

Go Angles of Bisector of Isosceles Triangle at Vertex

∠ Bisector = \frac{∠ Vertex}{2}

Go Base Angles of Isosceles Triangle given Vertex Angle

∠ Base = \frac{π - ∠ Vertex}{2}

Go Height of Isosceles Triangle from Vertex

h = \sqrt{{S Legs}^{2} - \frac{{S Base}^{2}}{4}}

Go Length of Angle Bisector of Angle between Legs and Base

l Angle Bisector = S Base \cdot \frac{\sqrt{S Legs \cdot (2 \cdot S Legs + S Base)}}{S Legs + S Base}

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

Base of Isosceles Triangle given Legs and Circumradius evaluator uses Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2) to evaluate 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 evaluate Base of Isosceles Triangle given Legs and Circumradius using this online evaluator? To use this online evaluator 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.

FAQs on Base of Isosceles Triangle given Legs and Circumradius

What is the formula to find Base of Isosceles Triangle given Legs and Circumradius?

The formula of Base of Isosceles Triangle given Legs and Circumradius is expressed as Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2). Here is an example- 7.846018 = sqrt(4*9^2-9^4/5^2).

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

With Legs of Isosceles Triangle (S_Legs) & Circumradius of Isosceles Triangle (r_c) we can find Base of Isosceles Triangle given Legs and Circumradius using the formula - Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2). This formula also uses Square Root (sqrt) function(s).

Can the Base of Isosceles Triangle given Legs and Circumradius be negative?

No, the Base of Isosceles Triangle given Legs and Circumradius, measured in Length cannot be negative.

Which unit is used to measure Base of Isosceles Triangle given Legs and Circumradius?

Base of Isosceles Triangle given Legs and Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Base of Isosceles Triangle given Legs and Circumradius can be measured.

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Base of Isosceles Triangle given Legs and Circumradius Formula

Base of Isosceles Triangle given Legs and Circumradius Example

Base of Isosceles Triangle given Legs and Circumradius Solution

Base of Isosceles Triangle given Legs and Circumradius Formula Elements

Other formulas in Isosceles Triangle category

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

FAQs on Base of Isosceles Triangle given Legs and Circumradius

Variable Name