Triangle Classification: Analyzing Angles 53°, 117°, and 21°

Question

What kind of triangle is shown in the diagram below?

535353117117117212121AAABBBCCC

Video Solution

Solution Steps

00:00 What triangle is given in the drawing
00:03 Let's start by checking if the triangle is indeed a triangle
00:06 The sum of angles in a triangle equals 180
00:09 Let's check if this holds true
00:23 We can see that the sum of angles is greater than 180, therefore it's not a triangle
00:27 And this is the solution to the question

Step-by-Step Solution

We calculate the sum of the angles of the triangle:

117+53+21=191 117+53+21=191

It seems that the sum of the angles of the triangle is not equal to 180°,

Therefore, the figure can not be a triangle and the drawing is incorrect.

Answer

The triangle is incorrect.