Q. 90 - Precalculus Enhanced with Graphing Utilities

Question

Geometry Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

Step-by-Step Solution

Answer

The area of isosceles right triangle is $A\left(x\right)=\frac{1}{2}{x}^2$

Step 1. Given Information

Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

Step 2. We know that the area of isosceles triangle A = 1 2 × base × height

The length of one of the two equal sides is $x$.

The value of base$=x$ and height$=x$

Step 3. Putting the value in the formula

$A\left(x\right)=\frac{1}{2}\times x\times x$

The area of isosceles right triangle

$A\left(x\right)=\frac{1}{2}{x}^2$