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Question

In the figure shown below , if PSSQ= PTTR andPST= PRQ, then ΔPQR is a/an triangle.


A
isosceles
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B
equilateral
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C
right angled
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D
scalene
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Solution

The correct option is A isosceles

It is given that

PSSQ = PTTR

So, ST || QR

PST=PQR (corresponding Angles)

Also, it is given that

PST=PRQ

So, PRQ=PQR

PQ = PR (Sides opposite to equal angles)

i.e., ΔPQR is an isosceles triangle.


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