Question

Find the value of X in the triangle shown below

Answer 1

C

Explanation:

You can use the Pythagorean Theorem (a² + b² = c²) to solve this problem.

a and b are the legs, while c is the hypotenuse, or the longest side. In this case, x and 7 are the legs, while 9 is the length of the hypotenuse.

x² + 7² = 9²

x² + 49 = 81

x² = 32

x = √32

If you would like additional help in math or other subjects for FREE, check out growthinyouth.org.

Answer 2

x = sqrt(32)

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

7^2 + x^2 = 9^2

49+x^2 = 81

Subtract 49 from each side

x^2 = 81-49

x^2 =32

Take the square root of each side

sqrt(x^2) = sqrt(32)

x = sqrt(32)