Question

This is a question from class 10th maths
Chapter- Circles​

Answer 1

Question:-

If PQ = 28 cm, then find the perimeter of ∆PLM.

Given:-

• PQ = 28 cm.

To Find:-

• The perimeter of ∆PLM.

Solution:-

Since, length of tangents drawn from external points are equal.

PQ = PT

PL + LQ = PM + MT

Since, length of tangents drawn from point L and M are equal.

PL + LN = PM + NM

Now,

Perimeter ∆PLM = PL + LM + PM

= PL + LN + NM + PM

= PL + LN + PL + LN

= 2(PL + LN)

= 2(PL + LQ)

= 2 × PQ

= 2 × 28

= 56 cm.

Answer:-

${ \boxed{ \sf \large \color{red} \therefore The \: perimeter \: of \:∆PLM = 56 \: cm. }}$

Hope you have satisfied. ⚘