Triangle Angle Sum: Can 56°, 89°, and 17° Form a Valid Triangle?

Question

If a tree's angles are sizes 56°, 89°, and 17°.

Is it possible that these angles are in a triangle?

Video Solution

Solution Steps

00:00 Can these angles potentially form a triangle?
00:03 The sum of the angles in a triangle equals 180
00:07 Insert the relevant values according to the given data and proceed to solve
00:10 The sum of angles is less than 180, therefore it cannot be a triangle
00:15 This is the solution

Step-by-Step Solution

Let's calculate the sum of the angles to see what total we get in this triangle:

56+89+17=162 56+89+17=162

The sum of angles in a triangle is 180 degrees, so this sum is not possible.

Answer

Impossible.

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Related Subjects

Sum and Difference of Angles The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Sides, Vertices, and Angles Types of Angles Exterior angles of a triangle Sum of Angles in a Polygon Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation

Question Types

Sum and Difference of Angles: Finding the size of angles in a triangle Parts of a Triangle: Finding the size of angles in a triangle