What kid of triangle is the following393939107107107343434AAABBBCCC

triangle is not a regular triangle

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

Q: What's the difference between obtuse and right triangles?

A right triangle has exactly one angle equal to 90°. An obtuse triangle has exactly one angle greater than 90°. Since 107° > 90°, this triangle is obtuse!

Q: Can a triangle have more than one obtuse angle?

No! If two angles were both greater than 90°, their sum would exceed 180°, which is impossible since all triangle angles must sum to exactly 180°.

Q: Why do I need to check that the angles sum to 180°?

This verifies that the three angles actually form a valid triangle! If they don't sum to 180°, then it's not a real triangle at all.

Q: What if I see an angle like 89°? What type of triangle is that?

Since 89° acute triangle (all angles less than 90°). Remember: Acute: all angles Right: one angle = 90°Obtuse: one angle > 90°

Q: Is this triangle also scalene or isosceles?

Since all three angles (39°, 107°, 34°) are different, this is a scalene triangle. It's both obtuse AND scalene - triangles can have multiple classifications!

Triangle Classification with Given Angle Measures

What kid of triangle is the following

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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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Understand the problem

What kid of triangle is the following

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°,

$C=107$

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

$107+34+39=180$

The triangle is obtuse.

Final Answer

Obtuse Triangle

Key Points to Remember

Essential concepts to master this topic

Rule: Obtuse triangles have exactly one angle greater than 90°
Technique: Check all angles: $107° > 90°$ makes this obtuse
Check: Sum equals 180°: $39° + 107° + 34° = 180°$ ✓

Common Mistakes

Avoid these frequent errors

Confusing obtuse with right triangles
Don't think obtuse means 90° exactly = wrong classification! Students often confuse obtuse (>90°) with right (=90°). Always remember obtuse means one angle is greater than 90°, not equal to it.

Practice Quiz

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

FAQ

Everything you need to know about this question

What's the difference between obtuse and right triangles?

A right triangle has exactly one angle equal to 90°. An obtuse triangle has exactly one angle greater than 90°. Since 107° > 90°, this triangle is obtuse!

Can a triangle have more than one obtuse angle?

No! If two angles were both greater than 90°, their sum would exceed 180°, which is impossible since all triangle angles must sum to exactly 180°.

Why do I need to check that the angles sum to 180°?

This verifies that the three angles actually form a valid triangle! If they don't sum to 180°, then it's not a real triangle at all.

What if I see an angle like 89°? What type of triangle is that?

Since 89° < 90°, that would be an acute triangle (all angles less than 90°). Remember:

Acute: all angles < 90°
Right: one angle = 90°
Obtuse: one angle > 90°

Is this triangle also scalene or isosceles?

Since all three angles (39°, 107°, 34°) are different, this is a scalene triangle. It's both obtuse AND scalene - triangles can have multiple classifications!

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