We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠T = ∠N, RT = EN. What more we need to show?
A
PN = AT
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B
PN = AR
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C
PN = RT
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D
None of these
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Solution
The correct option is A PN = AT
For SAS criterion,
Two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.
Given RT = EN , ∠T = ∠N
Thus, PN = AT