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Question 16
In the given figure, PQRQ, PQ = 5 cm and QR = 5 cm. Then, PQR is 



a) a right-angled triangle but not isosceles 
b) an isosceles right-angled triangle 
c) isosceles but not a right-angled triangle
d) neither isosceles nor right-angled triangle                                        


Solution

Given : PQRQ, PQ = 5 cm and QR = 5 cm

Since,                PQRQ

So,                    PQR = 90

PQR is a right angled triangle. 

Also, in PQR, 

                           PQ = QR

PQR is an isosceles triangle. 

Hence,  PQR is an isosceles right-angled triangle. 


Mathematics
NCERT Exemplar
Standard VI

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