Question

5. The length of two sides of a right triangle are leg: 9

m and hypotenuse: 16 m. Find the length of the
third side. Round to the nearest tenth if necessary.
A. 28.8 m
B. 13.2 m
C. 104 m
D. 14.4 m

Answer 1

B. 13.2 m

Explanation:

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, you can substitute in 9 for a and 16 for c. This puts it at 9^2 + b^2 = 16^2, which equals 81 + b^2 = 256. Subtract 81 from both sides to get b^2 = 175. Take the square root of both sides to get b = sqrt 175. The sqrt of 175 rounded to the nearest tenth is 13.2