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Construct Triangle When Its Base, Sum of the Other Two Sides and One Base Angle Are Given

In Δ RST, RS ...

Question

In $Δ$ RST, RS = 5 cm, $∠ S R T = 45^{\circ}$ and $∠ R S T = 45^{\circ}$ . Which criterion can be used to construct $Δ$ RST?

A.S.A. criterion

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S.A.S. criterion

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S.S.S. criterion

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A.A.S. criterion

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Solution

The correct option is A A.S.A. criterion

Clearly, from the figure two angles and the included side are given. So, A.S.A. criterion can be used to construct $Δ$ RST.

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∠ S R T = 45^{\circ}

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In $Δ R S T$ , $R S$ = 5 cm, $∠ S R T = 45^{\circ}$ and $∠ R S T = 45^{\circ}$ . Which criterion can be used to construct $Δ R S T$ ?

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