Pythagorean 2D Worksheets Grade 8

1. Charlotte is designing a rectangular garden for her backyard. The garden is 22 feet long and 17 feet wide. She wants to place a small decorative fountain at the center of the garden. What is the straight-line distance from one corner of the garden to the fountain? Round your answer to the nearest tenth of a foot.
2. Emma is helping her family build a wheelchair ramp for their front porch. The ramp will form a right triangle with the ground. The horizontal distance from the porch to the end of the ramp is 80 inches, and the vertical height from the ground to the porch is 60 inches. What is the length of the ramp (the diagonal side) in inches?
3. Kaia is building a small ramp for her skateboard. The ramp forms a right triangle where the horizontal base (the distance from the start of the ramp to the point directly below the top) measures 9 inches, and the vertical height (the rise of the ramp) measures 12 inches. Kaia needs to cut a piece of plywood for the sloping surface of the ramp. How long, in inches, will the sloping surface be?

…and 2 more problems

1. A rectangular garden is 12 meters long and 5 meters wide. A diagonal path is built directly from one corner to the opposite corner. What is the length of this diagonal path? Round your answer to the nearest tenth of a meter.
2. Emma is designing a kite for a school project. The kite has a rectangular frame with a length of 24 inches and a width of 10 inches. She wants to add a diagonal cross-brace for stability. What is the length, in inches, of this diagonal brace? Round your answer to the nearest tenth of an inch.
3. Mere is constructing a rectangular garden for a community project. The garden has a length of 18 meters and a width of 24 meters. She wants to install a diagonal irrigation pipe from one corner to the opposite corner. What is the length of the diagonal pipe, in meters?

…and 1 more problems

1. A right triangle has legs of length 7 cm and 24 cm. What is the length of the hypotenuse?
2. Noah is building a rectangular garden that measures 16 meters by 11 meters. He wants to install a diagonal sprinkler line from one corner to the opposite corner. What is the length of the diagonal sprinkler line? Round your answer to the nearest whole meter.
3. Liam is building a triangular support brace for his bookshelf. The brace will be a right triangle where the horizontal piece measures 48 cm and the vertical piece measures 64 cm. What is the length of the diagonal support beam that Liam needs to cut?

…and 2 more problems