# Solution - Similarity Examples and Solutions

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ConceptSimilarity Examples and Solutions

#### Question

In ∆ABC, DE is parallel to base BC, with D on AB and E on AC. If \frac{AD}{DB}=\frac{2}{3} , find \frac{BC}{DE}.

#### Solution

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#### Similar questions VIEW ALL

If a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then prove that the triangle on each side of the perpendicular are similar to each other and to the original triangle. Also, prove that the square of the perpendicular is equal to the product of the lengths of the two parts of the hypotenuse

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In figure, considering triangles BEP and CPD, prove that BP × PD = EP × PC.

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In the figure, E is a point on side CB produced of an isosceles ∆ABC with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ∆ABD ~ ∆ECF

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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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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)

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#### Reference Material

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