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Learn how to use Pythagoras' theorem to solve right-angled triangles and find distances between planets using similar triangles. Practice problems included. Suitable for Level 7/8 students.
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Teacher's Notes Topic: SSM - Pythag, sim triangles Pythagoras (a) Use Pythagoras' theorem to explain why triangle A must be right-angled. (c) The diagram shows the Earth and two other planets. Planet P is 6.9 x 107 km from Earth. Planet Q is 9.2 x 107 km from Earth. How far is Planet P from Planet Q ? Give your answer in standard form. L7/8 (b) Triangle A is enlarged to make triangle B. Use similar triangles to show that d = 9.2cm How many ways can you do this?
Pythagoras (a) Use Pythagoras' theorem to explain why triangle A must be right-angled.
(b) Triangle A is enlarged to make triangle B. Use similar triangles to show that d = 9.2cm
(c) The diagram shows the Earth and two other planets. Planet P is 6.9 x 107 km from Earth. Planet Q is 9.2 x 107 km from Earth. How far is Planet P from Planet Q ? Give your answer in standard form.