1. the legs of a right triangle measure 24 feet and 45 feet. what is the length of the hypotenuse?
a. 51ft
b.69ft
c.38.07ft
d.8.31ft

2. which of these cannot represent the lengths of the sides of a right triangle?
a.3 ft,4 ft,5 ft
b.6 in,8 in,10 in
c.16 cm,63 cm,65 cm
d.8 m,9 m,10 m

1.

so remember
a^2+b^2=c^2

a and b are the legs
c=hypotonuse so
a=24
b=45
subsitute
24^2+45^2=c^2
576+2025=c^2
2601=c^2
square root both sides
51=c

the answer is A. 51 ft

2. just subsitute and solve for ones that are not equal (hypotonuse is greater than either legs)
A. 3^2+4^2=5^2
9+16=25
25=25
correrct

B. 6,8,10
this is a multiplule of the 3,4,5 previoius so this works as well

C.16^2+63^2+65^2
256+3969=4225
4225=4225
correct

D. 8^2+9^2=10^2
64+81=100
145=100
false

the answer is D

ANSWERS:
1. A, 51 ft
2. D, 8,9,10