Question

What is the value of x?

Question 2 options:


39



41



31



49

Answer 1

x = 41

Explanation:

a² + b² = c²

a = 9

b = 40

c = x

9² + 40² = x²

81 + 1600 = x²

1681 = x²

x = 41

Answer 2

41

Explanation:

We can use the Pythagorean theorem to solve for x

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 +40^2 = x^2

81 +1600 = c^2

1681 = c^2

Take the square root of each side

sqrt(1681) = sqrt(c^2)

41 = c