Question

One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answer 1

Answer: 20 cm

Explanation:

Given

For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm

Using the Pythagoras theorem,
`(\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2`

Insert the values

`\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=√(400)\\\Rightarrow H=20\ cm`