# Solution - Similarity Examples and Solutions

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ConceptSimilarity Examples and Solutions

#### Question

In an isosceles ∆ABC, the base AB is produced both ways in P and Q such that AP × BQ = AC2 and CE are the altitudes. Prove that ∆ACP ~ ∆BCQ.

#### Solution

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#### Similar questions VIEW ALL

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

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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

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figure 7

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In figure, ∠A = ∠CED, prove that ∆CAB ~ ∆CED. Also, find the value of x.

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In figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm, AP = 2.8 cm, find CA and AQ.

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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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#### Reference Material

Solution for concept: Similarity Examples and Solutions. For the course 8th-10th CBSE
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