a square has a diagonal of 8 inches. what is the area of the square?

Question

 special right triangles

Answer 1

A square has sides of equal length.  Its area is the side length squared.

 

Let x = side length

 

First, we need to find the length.  Using Pythagorean theorem,

 

x² + x² = 8²

 

 

Solving for x,

 

2x² = 64

 

  x² = 32

 

 

Since x² represent the area of the square,

 

Area = 32 in²