Question

Perimeter (L4BC2
4. FAABC-APQR and
Perimeter (APQR)
BE AB = 4cm, find PQ
The length of the tangent in a cirle
famoin
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Answer 1

Answer:

BP=BR and CR=CQ

Length of tangents drawn from an external point to a circle are equal.

Perimeter of △ABC=AB+BR+RC+CA=AB+BP+QC+CA

=AP+QA(AP=QA)

=2AP

In △APO, using pythagaras theorem

AO

2

=AP

2

+PO

2

⇒13

2

=AP

2

+5

2

⇒AP=

169−25

AP=

144

=12

∴ Perimeter of △ABC=2AP=2×12=24cm