Question
Download Solution PDFIf PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PT is a tangent to a circle, whose centre is O.
OP = 17 cm
OT = 8 cm
Formula used:
Pythagoras Theorem: In a right-angle triangle, the hypotenuse is equal to -
OP2 = OT2 + TP2
Calculation:
This, the length of the tangent TP is equal to:
TP2 = OP2 - OT2
TP2 = (17)2 - (8)2
TP2 = 289 - 64
TP2 = 225
TP = √225 = 15
∴ The length of the tangent segment PT is equal to 15 cm.
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