Question

PLEASE ANSWER FAST!!!!!!!!!! The lengths of the legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?

Answers:

32 cm

26 cm

34 cm

29 cm

Answer 1

Given a right triangle, start thinking "Pythagorean Theorem" immediately. You know that the leg lengths are 10 cm and 24 cm; according to the P. Theorem, the length of the hypotenuse is:

h^2 = (10 cm)^2 + (24 cm)^2, or 676 cm^2. Taking the sqrt of both sides, we get:

h = length of hypotenuse = √676 = 26 cm

Answer 2

According to the Pythagorean theorem, we know that, in a right triangle, the sum of the square of each leg is equal to the hypotenuse.
(a^2+b^2=c^2) where a and b are the legs, and c is the hypotenuse.
Therefore, in this problem, all that is left to do is “plug in” the length of the legs in the equation.
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2 /take the square root of both sides
26 = c
We now know the length of the hypotenuse is 26 cm.