A quadrilateral pqrs is drawn to circumscribe a circle. If pq, qr, rs in cm are 5 9 8 respectively, then ps in cm equals.
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7
Answer:
The length of tangent PS = 4 cm
Step-by-step explanation:
Let the point of Contacts of sides PQ, QR, RS, SP be A, B, C, D respectively.
In External point p--------------------PA=PD-----------------------------1
In External point q--------------------QA=QB----------------------------2
In External point r---------------------RC=RB-----------------------------3
In External point s--------------------SC=SD-----------------------------4
ADD 1 2 3 4
PA+QA+RC+SC = PD+QB+RB+SD
5+8 = PS + 9
PS= 13- 9
∴PS=4 cm.
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3
Answer:
4 CM is the answer
hope it helps you
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