Which of the following shows the length of the third side, in inches, of the triangle below?
24 in
6,052 inches
50 inches
70 inches
198 inches

D

Step-by-step explanation:

This is a Pythagorean Theorem application.

Givens

a = ?

b = 24

c = 74

Formula

a^2 + b^2 = c^2

Solution

a^2 + 24^2 = 74^2

a^2 + 576 = 5476                    Subtract 576 from both sides.

a^2 +576-576 = 5476- 576     Subtract

a^2 = 4900                              Take the square root of both sides.

sqrt(a^2)=sqrt(4900)                

a = 70

D

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d