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#### Question

Prove that the line segments joining the mid points of the sides of a triangle form four triangles, each of which is similar to the original triangle

#### Solution

#### Similar questions VIEW ALL

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

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}.`

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

In figure, find ∠L

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

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