Circle with centre o is inscribed in triangle pqr touches the sides pq qr and pr
Answers
Answered by
1
Answer:
x
Step-by-step explanation:
yz
Answered by
64
Answer:
Step-by-step explanation:
Since lenth from an exterior point to a circle are equal.
Therefore PX=PZ.....1
QY=QX......2
RZ=RY........3
Adding equation 1,2 and 3 ,we get
PX+QY+RZ = PZ+QX+RY
Now,
Perimeter of triangle PQR =PQ+PR+QR
= (PX+XQ)+(QY+YR)+(PZ+ZR)
= (PX+PZ)+(QX+QY)+(RZ+RY)
= 2PX+2QY+2RZ
= 2(PX+QY+RZ)
Therefore,PX+QY+RZ = XQ+YR+ZP =2/1(perimeter of triangle PQR)
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