1. Recapping: Finding the hypotenuse of a right-angled triangle.
Which of the following is the correct perimeter of the quadrilateral below?

2. Pythagoras’ Theorem – Solving Complex Problems
Learning Objective: Use Pythagoras’ Theorem to solve problems involving right-angled triangles
OMN is a triangle.
MP = 7 cm, OM = 25 cm, ON = 30 cm
A square has the same perimeter as trapezium ABCD.
Work out the area of the square.
Give your answer to 2 decimal places.
Work out the length of PN.

3. Pythagoras’ Theorem – Solving Complex Problems
Learning Objective: Use Pythagoras’ Theorem to solve problems involving right-angled triangles
PQRS is a quadrilateral made from two right-angled triangles.
i) Calculate the length SQ.
ii) Calculate the area of the quadrilateral PQRS.
ABCD is a trapezium.
AD = 10 cm, DC = 13 cm, CB = 15 cm.
i) Calculate the length DB.
ii) Calculate the length CA,

4. Pythagoras’ Theorem – Solving Complex Problems
Learning Objective: Use Pythagoras’ Theorem to solve problems involving right-angled triangles
The diagram shows three identical circles.
Each circle touches the other two circles shown in the diagram.
The radius of each circle 12 cm.
A triangle has vertices at the center of each circle.
Calculate the perpendicular height of the triangle.