If e = 9 cm and f = 40 cm, what is the length of g?



A. 41 cm
B. 31 cm
C. 43 cm
D. 39 cm

1 answer

To find the length of g, we would use the Pythagorean theorem which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, using the Pythagorean theorem, we have:

g^2 = e^2 + f^2
g^2 = 9^2 + 40^2
g^2 = 81 + 1600
g^2 = 1681

Taking the square root of both sides to find g:

g = √1681
g = 41

Therefore, the length of g is 41 cm.

Correct answer: A. 41 cm