Geometry Worksheet: Triangle Altitude and Length Calculation

Segment GM is an altitude of △AGE. Based on the information in the diagram, what is the length of AE?

• 19.7

• 18.4

• 17.0

• 14.1

A wire is attached from the top of the pole to a stake in the ground as shown. Based on the information in the diagram, approximately how far is the stake from the base of the pole?

• 11.3 feet

• 18.8 feet

• 19.9 feet

• 24.9 feet

In △QRS, QR = 12 and m∠Q = 30°. Based on this information, what is the length of RS?

• 4√3

• 8√3

• 6

• 12

In △ABC, BD ⟂ AC and AB ⟂ BC. Based on the information in the diagram, what is the approximate length of BC?

• 12.0

• 14.4

• 19.7

• 21.6

Triangle PQR is shown. Based on the information in the diagram, what is the approximate measure of ∠R?

• 24.9°

• 27.7°

• 62.3°

• 65.1°

Triangle GEO is shown. Based on the information in the diagram, what is the length of GE?

• 8

• 8√3

• 12

• 12√2

Triangle ABC is shown. (Diagram: Triangle ABC with AB = 27, BC = 14, and a right angle at C) Based on the information in the diagram, what is the approximate measure of ∠B?

• 27.4°

• 30.4°

• 58.8°

• 62.6°

Triangle JKL is shown. Based on the information in the diagram, what is the length of JK?

• 8

• 8√3

• 12

• 12√3

In the triangle DEF, DE is perpendicular to EF and EC is perpendicular to DF. Based on the information in the diagram, what is the approximate length of DE?

• 12.1

• 15.7

• 19.3

• 27.1

Triangle PGA is shown. Based on the information in the diagram, what is the approximate measure of ∠PGA?

• 28.5°

• 32.9°

• 57.1°

• 61.5°