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Criteria for Similarity of Triangles

In ABC, ∠ A a...

Question

In $△$ ABC, $∠ A a n d ∠ C$ are given, the number of triangles that can be constructed with this data is -

One

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Two

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Three

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Infinite

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Solution

The correct option is D
Infinite

$∠ S = 180^{o} - (∠ A + ∠ C)$

The angles of the traingle are known. With the given measurement of the angles, we can draw infinite number of traingles (Similar triangles).

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Similar questions

In $△$ ABC, $∠ A a n d ∠ C$ are given, the number of triangles that can be constructed with this data is -

△ A B C

∠ A a n d ∠ C

∠ B = 60^{o}

∠ C = 45^{o}

Δ

A B C

b < c sin B

A B, B C

C A

△ A B C

3, 4

5

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