Similar triangles: missing sides and shadows

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Learn it Similar triangles have equal angles and proportional sides. Match the corresponding sides, write a proportion, and solve. Shadows at the same time of day make similar triangles.

Example: A 1.6 m person casts a 2 m shadow. A tree casts a 15 m shadow. How tall is the tree?

height ÷ shadow is the same for both: 1.6/2 = h/15.
h = 15 × 0.8 = 12 m.

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