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Area of Isosceles Triangle Formula

GoArea of Isosceles Triangle by Heron's Formula Formula

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The Area of Isosceles Triangle is the amount of space or region enclosed by it in a two-dimensional space. Check FAQs

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

A - Area of Isosceles Triangle?S_Base - Base of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?

Area of Isosceles Triangle Example

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Here is how the Area of Isosceles Triangle equation looks like with Values.

Here is how the Area of Isosceles Triangle equation looks like with Units.

Here is how the Area of Isosceles Triangle equation looks like.

25.4558 = \frac{6}{2} \cdot \sqrt{9^{2} - \frac{6^{2}}{4}}

25.4558m² = \frac{6m}{2} \cdot \sqrt{{9m}^{2} - \frac{{6m}^{2}}{4}}

25.4558 = \frac{6}{2} \cdot \sqrt{9^{2} - \frac{6^{2}}{4}}

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Area of Isosceles Triangle Solution

Follow our step by step solution on how to calculate Area of Isosceles Triangle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{6m}{2} \cdot \sqrt{{9m}^{2} - \frac{{6m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

A = \frac{6}{2} \cdot \sqrt{9^{2} - \frac{6^{2}}{4}}

Next Step Evaluate

∴

A = 25.4558441227157m²

LAST Step Rounding Answer

∴

A = 25.4558m²

Area of Isosceles Triangle Formula Elements

Variables

Functions

Area of Isosceles Triangle

The Area of Isosceles Triangle is the amount of space or region enclosed by it in a two-dimensional space.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Isosceles Triangle

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

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 to find Area of Isosceles Triangle

Go Area of Isosceles Triangle by Heron's Formula

A = (s - S Legs) \cdot \sqrt{s \cdot (s - S Base)}

How to Evaluate Area of Isosceles Triangle?

Area of Isosceles Triangle evaluator uses Area of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4) to evaluate the Area of Isosceles Triangle, Area of Isosceles Triangle formula is defined as the total quantity of space or region enclosed by an Isosceles triangle in a plane. Area of Isosceles Triangle is denoted by A symbol.

How to evaluate Area of Isosceles Triangle using this online evaluator? To use this online evaluator for Area of Isosceles Triangle, enter Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs) and hit the calculate button.

FAQs on Area of Isosceles Triangle

What is the formula to find Area of Isosceles Triangle?

The formula of Area of Isosceles Triangle is expressed as Area of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4). Here is an example- 25.45584 = 6/2*sqrt(9^2-6^2/4).

How to calculate Area of Isosceles Triangle?

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

What are the other ways to Calculate Area of Isosceles Triangle?

Here are the different ways to Calculate Area of Isosceles Triangle-

Area of Isosceles Triangle=(Semiperimeter of Isosceles Triangle-Legs of Isosceles Triangle)*sqrt(Semiperimeter of Isosceles Triangle*(Semiperimeter of Isosceles Triangle-Base of Isosceles Triangle))

Can the Area of Isosceles Triangle be negative?

No, the Area of Isosceles Triangle, measured in Area cannot be negative.

Which unit is used to measure Area of Isosceles Triangle?

Area of Isosceles Triangle is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Isosceles Triangle can be measured.

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Area of Isosceles Triangle Formula

​GoArea of Isosceles Triangle by Heron's Formula Formula

Area of Isosceles Triangle Example

Area of Isosceles Triangle Solution

Area of Isosceles Triangle Formula Elements

Other Formulas to find Area of Isosceles Triangle

How to Evaluate Area of Isosceles Triangle?

FAQs on Area of Isosceles Triangle

Variable Name

GoArea of Isosceles Triangle by Heron's Formula Formula