Question

Find the value of x.
A. 6+3√5 m
B. 5√3 m
C. 2√ 41m
D. 6 m

Answer 1

C

Explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 10² = 64 + 100 = 164 ( take the square root of both sides )

x =
`√(164)`

=
`√(4(41))`

=
`√(4)` ×
`√(41)` = 2
`√(41)` → C