Pythagorean Theorem Worksheets Grade 8

1. Lena is designing a triangular garden plot with sides measuring 6 meters and 8 meters. She wants to install a diagonal stone path across the plot. What is the length of this diagonal path?
2. √(11² + 60²) = ?
3. √(9² + 40²) = ?

…and 6 more problems

1. A drone is flying from a control station to a delivery point. It travels 1.2 kilometers due east, then turns and flies 0.9 kilometers due north to reach its destination. What is the straight-line distance, in kilometers, from the control station to the delivery point? Round your answer to the nearest hundredth of a kilometer.
2. A right triangle has legs measuring 9 cm and 12 cm. What is the length of the hypotenuse?
3. Liam is designing a triangular garden with sides measuring 6 meters, 8 meters, and 10 meters. He wants to verify if this forms a right triangle by applying the Pythagorean theorem. Which side should be the hypotenuse, and does the garden form a right triangle?

…and 4 more problems

1. A drone is flying at a constant altitude of 120 meters. Its controller on the ground is 50 meters away from the point directly below the drone. What is the straight-line distance between the drone and its controller?
2. √(8² + 15²) = ?
3. Emma is flying a kite that is 120 feet above the ground. Her friend Noah is standing 50 feet away from the point directly below the kite. If the kite string is pulled taut in a straight line, what is the length of the kite string from Emma's hand to the kite?

…and 5 more problems