Standard
Hard
Word Problem
100

For a 30-60-90 triangle, and the shorter leg is 2. What is the hypotenuse and the longer leg?

x=2√3

y=4

100

For a 30-60-90 triangle, and the hypotenuse is 10. What is the shorter leg and the longer leg?

x=5√3

y=5

100

Ryan is sailing in the ocean. His sail for his sailboat is a 45-45-90 right triangle. The base of the sale is 6 feet long. What would the height of the sail be? What is the length of the hypotenuse?

Hypotenuse=6√2

Height=6

200

For a 30-60-90 triangle, and the hypotenuse is 16. What are the legs?

x=8√3

y=8

200

For a 30-60-90 triangle, and the longer leg is 12. What is the hypotenuse and the shorter leg?

x=8√3

y=4√3

200

Jeremy is going to skateboard with his new ramp. The ramp must be set up to rise from the ground at 30 degrees. If the height from the ground to the platform is 8 feet. How far is the ramp from the top of the platform?

16 feet

300

For 45-45-90 triangle, and the leg is 3√2/2. What is the hypotenuse?

3

300

For a 30-60-90 triangle, and the hypotenuse is 2√2. What is the shorter leg and longer leg?

x=√6

y=√2

300

Sophia and Tonye are creating an art project in the shape of a right triangle. They have 92 cm long piece of wood, which is used to be the hypotenuse. The two legs of the triangular support are of equal length. Approximately how many more centimeters of wood do they need to complete the support? 

92√2

400

For a 45-45-90 triangle, and the hypotenuse is 4. What are the legs.

both legs are 2√2

400

For a 30-60-90 triangle, and the hypotenuse is 3. What is the shorter leg and longer leg?

a=3√3/2

b=3/2

400

Maia has a square backyard with an area of 225ft sq. He started to plant grass seeds but only did half his yard. What is the perimeter of the grass section of the background?

30+15√2

500

For a 45-45-90 triangle, if the leg is 2√2. What is the hypotenuse?

4

500

For a 45-45-90 triangle, and the hypotenuse is 7. What are the legs?

x=7√2/2

500

Joe bought a yield sign on Amazon to hang in is room. The yield sign is an equilateral triangle. The length of one side is 34 inches. What is the height of sign? (Simplify your answer)

17√3