Pythagorean 2D Worksheets Grade 8

1. √(37² - 12²) = ?
2. Liam is building a triangular support brace for his bookshelf. The brace will be a right triangle where the horizontal side measures 48 cm and the vertical side measures 64 cm. What is the length of the diagonal brace that Liam needs to cut?
3. Liam is building a rectangular garden in his backyard. The garden measures 12 feet by 5 feet. He wants to install a diagonal stone path from one corner of the garden to the opposite corner. How long will the stone path be? Round your answer to the nearest tenth of a foot.

…and 4 more problems

1. Emma is designing a kite for a school project. The kite has a rectangular frame with a length of 60 cm and a width of 80 cm. She wants to add a diagonal cross-brace for stability. What is the length of this diagonal cross-brace in centimeters?
2. 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?
3. 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.

1. Liam is building a triangular support brace for his bookshelf. The brace will be a right triangle where the base measures 2.4 meters and the height measures 0.7 meters. What is the length of the diagonal support beam, in meters? Round your answer to the nearest hundredth.
2. Sophia is building a rectangular skateboard ramp in her driveway. The ramp has a horizontal base that is 36 inches long and a vertical height of 16 inches. She needs to cut a diagonal support piece that connects the top of the vertical height to the far end of the horizontal base. How long, in inches, should Sophia cut the diagonal support piece?
3. Emma is flying a kite from a string that is 85 meters long. The kite is directly above a point on the ground that is 36 meters away from where Emma is standing. How high is the kite flying above the ground, in meters?

…and 5 more problems