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Geometry Level 1

Arjit drew an isosceles right angled triangle on the board. What is the measure of the base angle?

180^\circ

45^\circ

60 ^ \circ

90^\circ

5 solutions

A Former Brilliant Member
Jun 17, 2017

In an isosceles right triangle, two sides are equal. That means that two angles must also be equal. Since it has a $90^\circ$ angle, the other angles are $45^\circ$ and $45^\circ$ as shown in my figure.

Calvin Lin Staff
Jun 26, 2014

Since the triangle is right angled, the vertex angle is $90 ^ \circ$ .
Hence the base angle is $\frac{ 180^\circ - 90^ \circ } { 2} = 45 ^ \circ$ .

It is not given so it can also be 60

mitesh warang - 6 years, 11 months ago

The angles of a triangle always add up to 180, or the triangle is innexistant.

Thiago Virgínio - 6 years, 11 months ago

It can so be 60!!

Rodolfo Cabello - 4 years, 10 months ago

it may possible 30,60,60

santosh Mali - 6 years, 11 months ago

The angles of a triangle should add up to 180.

Calvin Lin Staff - 6 years, 11 months ago

It says it's a right-angled triangle, so one of the angles has to be 90°.

Elisabeth Finkel - 6 years, 10 months ago

Yash Chandra
Oct 5, 2014

90 degrees in the top corner. 180 - 90 = 90. 90 divided by 2 = 45

Charity Aghahowa
Jun 30, 2014

90 degrees in the top corner. 180 - 90 = 90. 90 divided by 2 = 45

Answer 45 haaa

Kaushik Raj - 4 years, 1 month ago

Moeka Hanzawa
Jun 1, 2017

180-90=90. 90 divided by 2 is 45.

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