a circle is inscribed in a triangle whose radius is 2 cm and area of triangle is 6 CM square then find the perimeter of Triangle
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https://www.quora.com/A-circle-with-radius-2cm-is-inscribed-in-a-triangle-of-area-6cm%C2%B2-What-is-the-perimeter-of-the-triangle
Step-by-step explanation:
The area of a triangle is the in-radius times the semi-perimeter.
⇒A=r⋅s, where A,r and s are the area, radius of the in-circle and the semi-perimeter, respectively.
It is given that A=6 cm2 and r=2 cm.
⇒s=A/r=6/2=3 cm.
⇒ The length of the perimeter is 2s=6 cm.
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