Find the unknown side length, x. write your answer in simplest radical form.
a. 2 square root 41
b. 4 square root 29
c. 48
d. 58

d) 58

Step-by-step explanation:

As it is a right triangle, we need to use Pythagoras' Theorem.

The x (because it is the largest side and it is opposite to the right angle), is the hypotenuse and the other sides are 42 and 40.

The theorem says the square of the hypotenuse is equal to  the sum of the squares of the other two sides.

hyp² = side² + other side²

h² = a² + b²

In our case:

x² = 40² + 42²

x² = 1600 + 1764

x² = 3364

x = √3364 = 58

-14 is the answer

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