Question & Answer » Mathematics Questions » Can a Triangle Have Two Right Angles?

Can a Triangle Have Two Right Angles?

Can a triangle have two right angles? Find the answer to this question and access a vast question bank customised for learners.

Table of Content

Answer: There can only be one correct angle in a triangle. A triangle has three parallel sides and internal angles that add up to 180 degrees. A triangle’s sides will overlap if it has two right angles, forming a triangle whose third angle has 0 degrees.

Let’s now use mathematical concepts to demonstrate the assumption.

Think about the right-angled triangle ABC.

Now,

∠B = 90° and △ABC

Three corresponding angles added together equals 180°.

=>∠A+∠B+∠C=180

=>∠A+∠C=180-90

=>∠A+∠C=90

This indicates that the total of both inner angles will be 90 degrees.

=>∠A≠0

=>∠C≠0

A triangle can never have two straight angles for this reason.