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Circumradius of Isosceles Triangle given Legs and Height Formula

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

r c = \frac{{S Legs}^{2}}{2 \cdot h}

r_c - Circumradius of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?h - Height of Isosceles Triangle?

Circumradius of Isosceles Triangle given Legs and Height Example

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

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

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

5.0625 = \frac{9^{2}}{2 \cdot 8}

5.0625m = \frac{{9m}^{2}}{2 \cdot 8m}

5.0625 = \frac{9^{2}}{2 \cdot 8}

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Circumradius of Isosceles Triangle given Legs and Height Solution

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

FIRST Step Consider the formula

r c = \frac{{S Legs}^{2}}{2 \cdot h}

Next Step Substitute values of Variables

∴

r c = \frac{{9m}^{2}}{2 \cdot 8m}

Next Step Prepare to Evaluate

∴

r c = \frac{9^{2}}{2 \cdot 8}

LAST Step Evaluate

∴

r c = 5.0625m

Circumradius of Isosceles Triangle given Legs and Height Formula Elements

Variables

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

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

Height of Isosceles Triangle

The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Triangle

Other formulas in Radius of Isosceles Triangle category

Go Inradius of Isosceles Triangle

r i = \frac{S Base}{2} \cdot \sqrt{\frac{2 \cdot S Legs - S Base}{2 \cdot S Legs + S Base}}

Go Circumradius of Isosceles Triangle

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

Go Inradius of Isosceles Triangle given Legs and Base Angle

r i = S Legs \cdot \cos (∠ Base) \cdot \tan (\frac{∠ Base}{2})

Go Inradius of Isosceles Triangle given Legs and Height

r i = \frac{h \cdot \sqrt{{S Legs}^{2} - h^{2}}}{S Legs + \sqrt{{S Legs}^{2} - h^{2}}}

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

Circumradius of Isosceles Triangle given Legs and Height evaluator uses Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle) to evaluate the Circumradius of Isosceles Triangle, Circumradius of Isosceles Triangle given Legs and Height formula is defined as the length of the radius of the circle that passes through all the vertices of the Isosceles triangle, calculated using its legs and height. Circumradius of Isosceles Triangle is denoted by r_c symbol.

How to evaluate Circumradius of Isosceles Triangle given Legs and Height using this online evaluator? To use this online evaluator for Circumradius of Isosceles Triangle given Legs and Height, enter Legs of Isosceles Triangle (S_Legs) & Height of Isosceles Triangle (h) and hit the calculate button.

FAQs on Circumradius of Isosceles Triangle given Legs and Height

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

The formula of Circumradius of Isosceles Triangle given Legs and Height is expressed as Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle). Here is an example- 5.0625 = 9^2/(2*8).

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

With Legs of Isosceles Triangle (S_Legs) & Height of Isosceles Triangle (h) we can find Circumradius of Isosceles Triangle given Legs and Height using the formula - Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle).

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

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

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

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

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Circumradius of Isosceles Triangle given Legs and Height Formula

Circumradius of Isosceles Triangle given Legs and Height Example

Circumradius of Isosceles Triangle given Legs and Height Solution

Circumradius of Isosceles Triangle given Legs and Height Formula Elements

Other formulas in Radius of Isosceles Triangle category

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

FAQs on Circumradius of Isosceles Triangle given Legs and Height

Variable Name