Find the perimeter of triangle QRS
helppp plzzz thx
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Answer:
A. 36 cm
Step-by-step 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