Triangle Classification: Analyzing a Triangle with 30° and 10° Angles

What type of triangle appears in the drawing?

ααα303030101010

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Step-by-step video solution

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00:00 Identify which triangle is shown in the drawing
00:03 The sum of the angles in a triangle equals 180
00:07 Apply this equation and proceed to solve for A
00:12 Let's isolate A
00:15 This is the value of A
00:18 Substitute in this value and determine the triangle's angles
00:21 Based on the angles, we can observe that the triangle is obtuse
00:24 This is the solution

Step-by-step written solution

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1

Understand the problem

What type of triangle appears in the drawing?

ααα303030101010

2

Step-by-step solution

To determine which type of triangle we are dealing with, let's calculate angle alpha based on the fact that the sum of angles in a triangle is 180 degrees.

α=180−30−10=140 \alpha=180-30-10=140

Since alpha is equal to 140 degrees, the triangle is an obtuse triangle.

3

Final Answer

Obtuse triangle

Practice Quiz

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In a right triangle, the side opposite the right angle is called....?

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