Question

Find the perimeter of triangle QRS



helppp plzzz thx

Answer 1

A. 36 cm

Explanation:

Perimeter = SQ + RS + RQ

✔️Find SQ:

SN = SM = 10 cm (tangents drawn from an external point)

QL = QN = 2 cm (tangents drawn from an external point)

SQ = SN + NQ

SQ = 10 + 2 = 12 cm

✔️Find RS:

RS = RM + MS

RM = RL = 8 - 2 = 6 cm

MS = 10 cm (given)

Therefore,

RS = 6 + 10 = 16 cm

✔️RQ = 8 cm (given)

Thus:

Perimeter = SQ + RS + RQ

Perimeter = 12 + 16 + 8 = 36 cm