What type of triangle is it?

Geometry Level 1

A triangle has lengths of 9 cm, 12 cm and 15 cm. What is the value of its largest angle?

120º 90º 81º 96º

Jakub Samoraj by Jakub Samoraj , 37, United Kingdom

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3 solutions

Félix Moreno
Sep 11, 2015

We see that the sides of the triangle follow the Pythagorean theorem; therefore, it must be a right triangle.

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Syed Hamza Khalid
May 19, 2017

we can quickly identify that this follows the Pythagorean triple because:

9 2 + 1 2 2 = 1 5 2 9^2+12^2=15^2

This shows that the angles of this triangle are 30,60 and 90.

So the largest is 90°

Hence 90 ° 90°

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Ajit Singh
Sep 15, 2015

The ratio of the sides is 3:4:5, which is a pythogorean triplet...so it will be 90°...

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