Question

What is the value of x? Enter your answer in the box. x=

Answer 1

x^2 + 6^2 = 10^2

x^2 + 36 = 100

x^2 = 64

x = 8

Answer 2

x=8

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse.

We know one of the legs is 6 and the hypotenuse is 10

6^2 +x^2 = 10^2

36+ x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8