Question

The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If

Answer 1

TP = 13

Explanation:

The height of the trapezoid can be found from the area formula:

A = (1/2)(b1 +b2)h

h = 2A/(b1 +b2) = 2(100)/(32 +8)

h = 5

The horizontal length of each triangular end of the trapezoid is ...

(32 -8)/2 = 24/2 = 12

so the hypotenuse of the triangular end of the trapezoid is ...

TP = √(12^2 +5^2) = √169

TP = 13

The sides of the trapezoid have length 13 units.