Recapping: Finding the hypotenuse of a right-angled triangle.

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Presentation transcript:

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

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.

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,

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.