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

Question

What type of triangle appears in the drawing?

ααα303030101010

Video Solution

Solution Steps

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 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.

Answer

Obtuse triangle

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Related Subjects

Types of Triangles Sum and Difference of Angles The Sum of the Interior Angles of a Triangle Equilateral triangle Isosceles triangle Sides, Vertices, and Angles Types of Angles Acute triangle Obtuse Triangle Scalene triangle Exterior angles of a triangle Sum of Angles in a Polygon Identification of an Isosceles Triangle Right Triangle

Question Types

Sum and Difference of Angles: Finding the size of angles in a triangle Types of Triangles: Finding the size of angles in a triangle