Can You Make a Triangle With Side Lengths

Front

Can you form a triangle with side lengths 15 in., 12 in., 2 in.?

Back

No, the sum of the lengths of the two shorter sides (12 in. + 2 in. = 14 in.) is less than the length of the longest side (15 in.).

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length.

Front

Will the sides 5 in., 7 in., and 9 in. form a triangle?

Back

Yes, the sum of the lengths of any two sides is greater than the length of the third side.

Front

In triangle ABC, if AB = 10 in. and BC = 17 in., what could be the length of AC?

Back

AC could be 16 in. because it must be less than the sum of the other two sides (10 + 17 = 27) and greater than their difference (17 - 10 = 7).

Front

Given two sides of a triangle, 7 mm and 4 mm, what is the range for the third side?

Back

The length of the third side must be more than 3 mm but less than 11 mm.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If one side of a triangle is 8 cm and another is 5 cm, what is the maximum length of the third side?

Back

The maximum length of the third side can be 12 cm (8 + 5 = 13, but must be less than 13).

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle has one angle that is greater than 90 degrees.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle where all three sides are of different lengths.

Front

If a triangle has sides of lengths 6 cm, 8 cm, and 10 cm, is it a right triangle?

Back

Yes, it is a right triangle because it satisfies the Pythagorean theorem (6^2 + 8^2 = 10^2).