Triangles and Their Side Lengths Answers

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3

Which are the possible side lengths of a triangle?

3
3 cm, 5 cm, 9 cm
4
4 cm, 8 cm, 10 cm
6
6 cm, 9 cm, 17 cm
8
8 cm, 10 cm, 18 cm
4

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.

Question illustration
A
0
B
1
C
3
D
7
5

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.Triangle DEF is an obtuse triangle.The angle at vertex D is acute.The angle at vertex F is obtuse.Triangle DEF is a right triangle.The angle at vertex D is obtuse.

A
Triangle DEF is an obtuse triangle.
B
The angle at vertex D is acute.
C
The angle at vertex F is obtuse.
D
Triangle DEF is a right triangle.
E
The angle at vertex D is obtuse.
9

must

e
equal to 45°.
g
greater than 45° and less than 90°.
e
equal to 90°.
g
greater than 90° and less than 180°.
10

must

l
less than 90°.
g
greater than 90°.
c
congruent to angle B.
c
congruent to angle C.

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