Year 8 Pythagoras practice
Year 8 Pythagoras practice for right triangles
Pythagoras questions become easier when students identify the hypotenuse and choose the correct formula. MathsBoost gives quick practice with worked feedback.
Question types
Find the hypotenuse, find a missing shorter side, use rectangle diagonals and solve simple word problems.
Common mistakes
Students often square the wrong side or forget to take the square root. Worked steps make those mistakes visible.
Sample practice questions
Question 1
A right triangle has shorter sides 5 cm and 12 cm. Find the hypotenuse.
Answer: 13 cm
Use 5² + 12² = 13².
Question 2
The hypotenuse is 10 cm and one shorter side is 6 cm. Find the other shorter side.
Answer: 8 cm
Use 10² - 6², then square root.
Question 3
A rectangle is 9 m by 12 m. Find its diagonal.
Answer: 15 m
The diagonal is the hypotenuse of a right triangle.