Solutions

Problem Set #1

1. Complete each right triangle below where two of the three sides are given, with the first being the hypotenuse

a) 75, 60 45

b) 58, 40 42

c) 39 ,15 36

d) 100, 60 80

e) 65,56 82.85 (no perfect square)

f) 85,84 13

2. In each problem below, the three sides of a triangle are given. Decide if it is a right triangle or not

a) 5, 10, 15 no

b) 20 ,21, 29 yes

c) 20, 50, 52 no

d) 1 , 1, √2 yes (isosceles)

e) 4,5, 9 no

f) 12,35,37 yes

g) 11,60,61 yes