Question
Download Solution PDFIn Δ ABC, AB = 12 cm, BC = 16 cm and AC = 20 cm. A circle is inscribed inside the triangle. What is the radius (in cm) of the circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In Δ ABC, AB = 12 cm, BC = 16 cm, AC = 20 cm
Formula used:
Area of the triangle (Δ) =
Where s = semi-perimeter =
Radius (r) of the inscribed circle =
Calculations:
a = 12 cm, b = 16 cm, c = 20 cm
s =
Area (Δ) =
⇒ Area (Δ) =
⇒ Area (Δ) =
⇒ Area (Δ) = 96 cm2
Radius (r) =
⇒ Radius (r) = 4 cm
∴ The correct answer is option (2).
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