Pythagoras and right triangles

Find the hypotenuse of a right triangle with shorter sides 6 cm and 8 cm.

Find the missing side if the hypotenuse is 13 m and one side is 5 m.

Explain how to identify the hypotenuse.

A student adds side lengths instead of squaring them. Correct the method.

Write the rule or formula most useful for Pythagoras and right triangles.

Show how to check one answer using estimation, substitution or inverse operations.

Write one common mistake students make in Pythagoras and right triangles and correct it.

Create a small table, diagram or equation that represents this topic.

State where units, exact form or rounding matter in this topic.

Write one exam-style short question on Pythagoras and right triangles and solve it.

A ladder reaches a wall 4 m high and is 1.5 m from the wall. Find the ladder length.

Use Pythagoras to decide whether a triangle with sides 9, 12 and 15 is right-angled.

Solve a multi-step problem involving Pythagoras and right triangles and explain every step clearly.

Create a realistic word problem for Pythagoras and right triangles, solve it and interpret the answer.

Compare two methods for a problem in Pythagoras and right triangles and explain which is more efficient.

Write a worked solution that includes a check for reasonableness.

Create a problem with a deliberate trap, then solve it correctly and explain the trap.

Use a diagram, table, graph or equation to model a situation involving Pythagoras and right triangles.

Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

Write a full-mark response to a challenging Pythagoras and right triangles question, including reasoning and final answer.