Triangle Relationships

In Triangle LMG, MK is an angle bisector,

m∠1 = 2n + 10, m∠2 = 4n – 32, and m∠L =60^o. Find m∠G.

• 16

• 52

• 104

In the picture above, CG, EG, and AG are angle bisectors.

CG = 15, GF = 9. Find BG.

• 17.5

• 15

• 9

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find AG.

• 12

• 15

• 17

• 9

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find GM.

• 2

• 17

• 8

• 22.7

Find BC if AD is an altitude of ∆ABC.

• 89

• 20

• 67

• 22

If FH is a median of △EFG, find the perimeter of △EFG.

• 33

• 140

• 5

• 112

OQ, NP, and RM are medians of ΔNOM.

If NL = x + 4 and NP = 3x + 3, find x.

• .5

• 2

• no solution

List the sides from smallest to largest. Show your work.

• MQ, PM, PQ

• PM, MQ, PQ

• PQ, MQ, PM

• MQ, PQ, PM

Use the figure above to determine which of the given angles is larger. $\angle BCF\ or\ \angle CFB$  

• Angle BCF

• Angle CFB

The lengths of two sides of a triangle are 38 and 45. Write an inequality to express the possible lengths of x, the third side of the triangle.

• $7<x<83$

• $8<x<82$

• $7>x>83$

• $8>x>82$