Triangles and Their Side Lengths

Question 1

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.

Question 2

Which are the possible side lengths of a triangle?

Revolt · Accepted Answer

4 cm, 8 cm, 10 cm

Question 3

The isosceles triangle has a base that measures 14 units.

Revolt · Accepted Answer

greater than 7.

Question 4

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

Revolt · Accepted Answer

4x < h < 10x

Question 5

must

Revolt · Accepted Answer

less than 90°.

Question 6

Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?

Revolt · Accepted Answer

Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

Question 7

Triangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.

Revolt · Accepted Answer

7

Question 8

3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.

Revolt · Accepted Answer

ED + EF < DF

Question 9

3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.

Revolt · Accepted Answer

AC + CB < AB

Question 10

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Revolt · Accepted Answer

m∠X + m∠Y < 90°

Triangles and Their Side Lengths Answers

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