# Solution - Similarity Examples and Solutions

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ConceptSimilarity Examples and Solutions

#### Question

In figure, ∠BAC = 90º and segment AD ⊥ BC. Prove that AD2 = BD × DC.

#### Solution

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#### Similar questions

In figure, \frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{2} and AB = 5 cm. Find the value of DC.

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The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, find AB

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In figure, QA and PB are perpendicular to AB. If AO = 10 cm, BO = 6 cm and PB = 9 cm. Find AQ

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Examine each pair of triangles in Figure, and state which pair of triangles are similar. Also, state the similarity criterion used by you for answering the question and write the similarity relation in symbolic form

figure (i)

figure 2

figure 3

figure 4

figure 5

figure 6

figure 7

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In figure, ABCD is a trapezium with AB || DC. If ∆AED is similar to ∆BEC, prove that AD = BC.

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