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Triangles

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Triangles Answer Key

1. 
One angle of a triangle is [math]70 deg[/math] and the other is [math]30 deg[/math]. Therefore, the remaining angle measure is [math]95 deg[/math].
  1. True
  2. False
2. 
One leg of a right triangle is 15 and the other is 18. The measure of the hypotenuse is approximately 23.
  1. True
  2. False
3. 
Given a triangle whose hypotenuse is 65 feet and one of the legs is 25 feet. Use the Pythagorean Theorem to find the length of the remaining side.
  1. 62 feet
  2. 60 feet
  3. 56 feet
  4. 53 feet
4. 
A ramp is used to bring cargo on and off a cruise ship. The ramp is 6 feet high and its end sits 18 feet away from the ship. What is the slope of this ramp?
Right Triangle v3
  1. [math]3//1[/math]
  2. [math]1//4[/math]
  3. [math]1//2[/math]
  4. [math]1//3[/math]
5. 
A right triangle's sides have the following measures: one leg - 8 and the hypotenuse - 17. Find the measure of the remaining side.
  1. 12
  2. 18
  3. 17
  4. 15
6. 
Alex is building a sandbox in the shape of a triangle. There is one right angle and the other angle measures [math]65deg[/math]. What is the measure of the third angle?
  1. [math]25deg[/math]
  2. [math]30deg[/math]
  3. [math]65deg[/math]
  4. [math]155deg[/math]
7. 
The measures of the angles in a right triangle are [math]x[/math], [math]2x[/math] and [math]90deg[/math]. What is [math]x[/math]?
  1. [math]15deg[/math]
  2. [math]30deg[/math]
  3. [math]45deg[/math]
  4. [math]60deg[/math]
8. 
Find the area of the right triangle shown. Side BA is 7.5 and side AC is 4.
Right Triangle ABC v2
  1. 5.75
  2. 30
  3. 11.5
  4. 15
9. 
Find the area of the right triangle shown. Side AB has has a measure of 8 and side AC has a measure of 6.
Right Triangle ABC v1
  1. 14
  2. 24
  3. 48
  4. 7
10. 
Find the area of one of the right triangles. The height is 4 and AC is 9.
Equilateral Triangle Height v1
  1. 13
  2. 6.5
  3. 18
  4. 36
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