Geometry Triangle Applications Problems

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine

• cosine

• tangent

• inverse sine

Which trig function would help you solve for the missing angle?

• sine

• cosine

• tangent

• pythagorean theorem

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

What is the measure of angle B?

• 47°

• 57°

• 46°

• 58°

G is the centroid of triangle ABC. BE = 15. Find EG.

• 10

• 5

• 22.5

• 20

List the sides in order from shortest to longest.

• DE, EF, DF

• Angle E, Angle D, Angle F

• DF, EF, DE

• Angle F, Angle D, Angle E

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

• 2

• 17

• 8

• 22.7

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.