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If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of ...



If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of \(\bigtriangleup\)PRS?
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  • A 19.5cm2
  • B 15.0cm2
  • C 13.0cm2
  • D 9.3cm2
Correct Answer: Option B
Explanation:
Perimeter of \(\bigtriangleup\) PQR = PQ + QR + PR
24cm = 6cm + 8cm = PR
24 = 14 + PR
PR = 24 - 14 = 10cm
Area of \(\bigtriangleup\) PRS = \(\frac{1}{2} \times 10 \times 3cm^3\)
= 15cm3

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