Question

In the given figure, AABC
5.
circumscribes the circle with
centre O.
State whether the following
statement is True or False.
Give reason also.
"If AB+CQ = 8 cm, then the
perimeter of AABC is 14 cm."

Answer 1

Answer:

Correct option is A)

Given−

ABCisatriangle,inscircleofwhichtouchesABatP,

ACatQandBCatR.

AP=5cm,BP=7cm,AC=14cmandBC=xcm.

Tofindout−

x=?

Solution−

Weknowthatthelengthsofthetangents,froma

pointtoacircle,areequal.

∴AP=AQ=5cm,BP=BR=7cmandCQ=CR.

NowCQ=AC−AQ=(14−5)cm=9cm=CR.

SoBC=x=CR+BR=(9+7)cm=16cm.

Ans−OptionB.