Question

A figure with two right triangles is shown below. What is the distance between A and B ?

Answer 1

21 feet

Explanation:

12^2+x^2=20^2(Pythagorean theorem)

144+x^2=400

x^2=400-144

x^2=256

x=sqrt 256

x=16

y^2+12^2=13^2(Pythagorean theorem)

y^2+144=169

y^2=169-144

y^2=25

y=sqrt 25

y=5

distance between A and B=16+5

=21 feet