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Triangle Properties Challenge

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Interactive questions on basic triangle properties

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Triangle Properties Challenge
 

Triangle Properties ChallengeOnline version

Interactive questions on basic triangle properties

by Danny Vergel
1

Question 1: Which triangle has all three sides of equal length? A) scalene B) isosceles C) equilateral D) right-angled Choose the correct option (A, B, C, or D).

Hints

A right-angled triangle is about angles, not sides.

It cannot be scalene or isosceles if all sides are equal.

Equilateral means all sides equal.

2

Question 2: In any triangle, the interior angles sum to 180 degrees. If one angle is 60° and another is 70°, what is the measure of the third angle? A) 40° B) 50° C) 60° D) 70°

Hints

Third angle = 180° − 130° = 50°.

Add the given angles: 60° + 70° = 130°.

Sum of angles is 180°.

3

Question 3: Which classification by angles describes a triangle with angles 30°, 60°, and 90°? A) acute B) right C) obtuse D) equilateral

Hints

If all angles were less than 90°, it would be acute.

30° + 60° = 90°, leaving 90° for the third angle.

A right triangle has one 90° angle.

4

Question 4 (True/False): A triangle with angles 25°, 55°, and 100° is obtuse? True or False

Hints

All three angles sum to 180°, which is consistent here.

The 100° angle is the obtuse angle in this triangle.

An angle greater than 90° makes the triangle obtuse.

5

Question 5: If a triangle has exactly two equal sides, what type is it? A) equilateral B) isosceles C) scalene D) right-angled

Hints

Scalene has all three sides different.

Two equal sides define an isosceles triangle.

Equilateral would have all three sides equal.

6

1) Which type of triangle has all three sides equal? A) Equilateral B) Isosceles C) Scalene

Hints

This is the only type with all equal sides.

All sides are the same in this type.

Think about side lengths only.

7

2) True or False: In every triangle, the sum of interior angles is 180 degrees.

Hints

If you add the three interior angles, you get a straight angle sum.

This holds for any triangle, regardless of shape.

Recall a fundamental angle fact for polygons.

8

3) If a triangle has one angle measuring 120°, what is its angle type by angles? A) Acute B) Right C) Obtuse

Hints

120° clearly fits this category.

An angle greater than 90° but less than 180° defines this type.

Consider whether the angle is less than 90°.

9

4) Given a triangle where two angles are 35° and 55°, what is the measure of the third angle?

Hints

Subtract from 180° to find the third angle.

Add the given angles: 35° + 55° = 90°.

Sum of all three interior angles is 180°.

10

5) A triangle with two equal sides is called which type?

Hints

Angle or side equality characterizes this type.

This is different from 'equilateral' because not all three sides are equal.

Two sides are the same length.

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