Question

What is the length of the hypotenuse in this right triangle?

A. 3cm

B. 3 (square root) 2cm

C. 5 (square root) 3cm

D. 9 cm

Answer 1

B. 3 (square root) 2cm

Explanation:

using pythagorean theorem

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

3^2 + 3^2 = c^2

9+9 =c^2

18 = c^2

take the square root of each side

sqrt(18) = sqrt(c^2)

sqrt(9 *2) = c

sqrt(9) sqrt(2) = c

3 sqrt(2) =c

Answer 2

c = 3 sqrt(2) cm

Explanation:

using pythagorean theorem

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

3^2 + 3^2 = c^2

9+9 =c^2

18 = c^2

take the square root of each side

sqrt(18) = sqrt(c^2)

sqrt(9 *2) = c

sqrt(9) sqrt(2) = c

3 sqrt(2) =c