A triangle with side lengths in the ratio3:4:5 is inscribed in a circle of radius 3.find area of the triangle?
Observe the ratio of the sides of the triangle. It is 3:4:5. It clearly shows that the triangle is right angled triangle. The triangle is inscribed in a circle. It implies that the circle is circum-circle of the triangle, and one diameter of the circum-circle is the hypotenuse. Diameter of the circle = 6 Hence the sides are of lengths 3.6, 4.8, 6.0 Base = 3.6 and height = 4.8 Hence, area of the triangle = ½ x 3.6 x 4.8 = 8.64 sq.
