Question

ABCD is a rectangle. What is the value of x?

А
63 m
B
165 m
x m
C
A) 2 meters
B) 16 meters
C) 63 meters
D) 65 meters

Answer 1

`AC^(2) = AB^(2) + BC^(2)` (Pythagorean theorem)

`65^(2) = 63^(2) + x^(2) \\`

4225 = 3969 +
`x^(2)`

`x^(2) = 4225 - 3969`

`x^(2) = 256`

x =
`√(256)`

x = 16 meters

B) 16 meters