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

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 = [tex]\sqrt{164}[/tex]
= [tex]\sqrt{4(41)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{41}[/tex] = 2[tex]\sqrt{41}[/tex] → C