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.

Question

asked Apr 1, 2022 5.7k views

1 Answer

Mobeen · Answer 1 · 2022-04-08T15:23:33+0000

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

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