One of the legs of a right triangle measures 4 cm and it's hypotenuse measures 5 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Question

asked Feb 20, 2022 231k views

2 Answers

Mathias Bader · Answer 1 · 2022-02-26T00:40:33+0000

Answer:

Measure of the other side of a right triangle
$=3\,\,cm$

Explanation:

Given:

Length of one leg of a right triangle
$=4\,\,cm$

Length of the hypotenuse
$=5\,,\cm$

To find: measure of the other side of a right triangle

Solution:

Let
denotes the measure of the other side of a right triangle.

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

$5^2=4^2+x^2\\25=16+x^2\\x^2=25-16\\x^2=9\\x=3\,\,cm$

So,

Measure of the other side of a right triangle
$=3\,\,cm$