Question

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

Answer 1

Answer:

C

Step-by-step 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 = $\sqrt{164}$

  = $\sqrt{4(41)}$

  = $\sqrt{4}$ × $\sqrt{41}$ = 2$\sqrt{41}$ → C