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Equal Angles Subtend Equal Sides

How many isos...

Question

How many isosceles triangles are there in a rhombus with two diagonals?

A

4

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B

6

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C

8

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D

10

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Solution

The correct option is A 4

$Δ A B D, Δ B D C, Δ A D C, Δ A B C$ are isosceles triangles since the sides AB, BC, CD and AD are equal.
The diagonals are not equal in general.
Therefore, 8 isosceles triangles are not possible always.

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