Triangle Classification: Determine Type with Angles 39°, 107°, and 34°

Question

What kid of triangle is the following

393939107107107343434AAABBBCCC

Video Solution

Solution Steps

00:00 Which triangle is shown in the drawing?
00:03 Let's check the triangle's angles and their relation to a right angle
00:06 Angle A is smaller than a right angle
00:09 The same applies to angle B
00:14 However, angle C is larger than a right angle
00:18 A triangle with an angle greater than 90° is an obtuse triangle
00:21 And this is the solution to the question

Step-by-Step Solution

Given that in an obtuse triangle it is enough for one of the angles to be greater than 90°, and in the given triangle we have an angle C greater than 90°,

C=107 C=107

Furthermore, the sum of the angles of the given triangle is 180 degrees so it is indeed a triangle:

107+34+39=180 107+34+39=180

The triangle is obtuse.

Answer

Obtuse Triangle

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Types of Triangles Equilateral triangle Isosceles triangle Acute triangle Obtuse Triangle Scalene triangle Identification of an Isosceles Triangle

Question Types

Types of Triangles: Identifying and defining elements