Perimeter of a Right Triangle

1 Star2 Stars3 Stars4 Stars5 Stars (No Ratings Yet)
Loading...

Right triangle drawing

The perimeter of a right triangle is the sum of the lengths of the two legs and the hypotenuse (in other words, the sum of all three sides).

Formula for the perimeter of a right triangle

Download this calculator to get the results of the formulas on this page. Choose the initial data and enter it in the upper left box. For results, press ENTER.

Triangle-total.rar         or   Triangle-total.exe      

Note. Courtesy of the author: José María Pareja Marcano. Chemist. Seville, Spain.

Exercise: How to Find the Perimeter of a Right Triangle

Example of a right triangle to calculate its perimeter

We can find the perimeter of a right triangle whose sides are a=3 cm, b=4 cm and c=5 cm by adding all the three sides:

Solution in the example 1

The perimeter of the triangle is 12 cm.

How do you Find the Perimeter of a Right Triangle using the Pythagorean Theorem?

How to Find the Perimeter of a Right Triangle using the Leg Rule

Drawing the right triangle for the height theorem

The Leg Rule relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse.

According to the equation derived from the Leg Rule we can calculate the lengths of the two legs in a right triangle if the hypotenuse and the two projections (m and n) of the legs (a and b) on the hypotenuse are given.

Leg theorem formula

So, we get the following formulas for each leg:

Formula for calculating legs

If perimeter is equal to a + b + c.

Formula for the perimeter of a right triangle through the Leg theorem

Where m and n are the segments projected by the legs (a and b) and c is the hypotenuse.

The Leg Rule is useful when the two legs (a and b) are unknown.


AUTHOR: Bernat Requena Serra

YEAR: 2020


IF YOU LIKED IT, SHARE IT!

Leave a Reply

Your email address will not be published.