Math, asked by Bhupeshdewangan9659, 11 months ago

A circle touches the side qr of triangle pqr at a and sides pq and pr on producing s and t respectively is ps = 8cm find the perimeter of triangle pqr

Answers

Answered by amitnrw
11

Perimeter of Triangle PQR = 16 cm , A circle touches the side qr of triangle pqr at a and sides pq and pr on producing s and t respectively is ps = 8cm

Step-by-step explanation:

PS = PT   ( Equal Tangent)

PS = 8 cm

=> PT = 8 cm

PS + PT  = 8 + 8

=> PQ + QS  + PR + RT = 16 cm

QS = QA   & RT = RA  ( equal Tangents)

=> PQ + QA + PR + RA = 16 cm

=> PQ + QA + RA  + PR = 16 cm

QA + RA = QR

=> PQ + QR + PR = 16cm

=> perimeter of Triangle = 16 cm

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Answered by achintyagupta1448
1

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