Question

Use the Pythagorean Theorem to find the missing side of this right triangle. Estimate with a calculator (to one decimal place) if the answer doesn't simplify to a whole number. ​

Answer 1

13.2

Explanation:

using Pythagorean theorem, create the equation for the unknown side, x.

x^2+9^2=16^2

subtract 9^2

x^2=16^2-9^2

Use difference of squares.

x^2=(16-9)*(16+9)

Solve

x^2=7*25

x^2=175

Take the square root of both sides

x=sqrt175

x=13.2