Geometry Triangle Applications Problems

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

• acute triangle

• right triangle

• obtuse triangle

• none of the above

A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

• acute triangle

• right triangle

• obtuse triangle

• none of the above

A triangle has angle measurements of 27°, 72°, and 81°. What kind of triangle is it?

• acute triangle

• right triangle

• obtuse triangle

• none of the above

A triangle has two 71° angles and one 38° angle. Is this triangle isosceles?

• yes 

• no

Which is NOT a test to prove triangles congruent?

• SAA

• SSS

• SSA

• SAS

Classify the following Triangle

• Acute Scalene Triangle

• Right Isosceles Triangle

• Right Scalene Triangle

• Obtuse Isosceles Triangle

Which of the following is false? 

• A triangle can be drawn with more than one acute angle.

• A triangle can be drawn with exactly one acute angle.

• A triangle can be drawn with exactly one obtuse angle.

• A triangle can be drawn with exaclty one right angle.

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches