Question

What is the area, in square units, of triangle QRS?.

Answer 1

A. 7
The formula for the area of a triangle is 1/2*base*height You can find a base and height by finding the side length of SQ and SR by using the Pythagorean theorem to find the values of the hypotenuse of the two sides formed with the rectangle
a^2 +b^2 = c^2

2^2 + 2^2 = SR^2  Simplify
4+4 =SR^2
8 = SR^2 Take Square root of both sides
√8=SR

3^2 + 4^2 = SQ^2  Simplify
9+16 =SR^2
25 = SR^2 Take the Square root of both sides
5=SR
1/2*SR*SQ= Area of the triangle
1/2*√8*5 ≈ 7