Triangle Inequalities

Front

Where would the largest angle of a triangle be located?

Back

Across from the longest side.

Front

Given: AM is the median, AB=4x-6, BM=2x-2, MC=3x-14, CA=5x-20. Find the value of x.

Back

x = 12

Front

Name the sides from SMALLEST to LARGEST: RS, ST, TR.

Back

RT, RS, ST

Front

What is the correct order of the lengths of the streets from longest to shortest? A, B, C, D.

Back

C

Front

Which of the following segments represents an altitude? BX, AZ, AC, BZ.

Back

BX

Front

What is the Triangle Inequality Theorem?

Back

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 7 cm and another is 10 cm, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 3 cm and less than 17 cm.

Front

In a triangle with sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13².

Front

What is the relationship between the angles and sides of a triangle?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.