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

What kid of triangle is the following

393939107107107343434AAABBBCCC

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Step-by-step video solution

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00:00 Identify which type of triangle is shown in the drawing
00:03 Examine the triangle's angles as well as 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 This is the solution

Step-by-step written solution

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1

Understand the problem

What kid of triangle is the following

393939107107107343434AAABBBCCC

2

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.

3

Final Answer

Obtuse Triangle

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

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