Loading...

Lesson: Geometry - 19t01

Finding The Perimeter Of A Triangle

[Page 19 of 30]

What is the perimeter of the isosceles triangle in the diagram below? Choose an answer, and then click Continue.

4√2
6√2
12
8 + 4 √2
14

Countinue

The largest angle in a right triangle is always the right angle. This makes sense if we remember that the sum of the other two angles is 180° - 90° = 90°. This is an isosceles triangle, the other two angles must be equal, and each must be 45°.

Since sides are proportional to the angles that are opposite them, then the two legs of the triangle must be of equal length. We know that one leg is 4, so the other leg must also be 4.

Plug these numbers into the Pythagorean theorem to find the length of the hypotenuse:

Then add the sides to find the perimeter:

4 + 4 + 4√2 = 8 + 4√2

Next to display next topic in the chapter.

Test Prep Lessons With Video Lessons and Explained MCQ

Large number of solved practice MCQ with explanations. Video Lessons and 10 Fully explained Grand/Full Tests.

More for You
All in this Category

You may be interested in

Colleges in Rawalpindi

List of major colleges in Rawalpind ...

Colleges in Peshawar

Find a comprehensive list of major ...

LUMS: NOP Financial Aid Program

Find all about LUMS NOP Financial A ...

International Issues

A list of Essays on International I ...

SAT Subject Test Biology

Find all about SAT-II Biology with ...

PAF - Cadet Wing

Join Pakistan Air Force as a Cadet. ...

AU - Air University

How to get admission in Air Univers ...

COMSATS - Engineering

COMSAT degrees in engineering - the ...