Question

A triangle with side legths in ratio 3:4:5 is inscribed in a circle with raidus 3 . What is the area of the triangle?

Answer 1

FROM THE RATIO OF SIDES THE TRIANGLE IS A RIGHT-ANGLED TRIANGLE
FOR A RIGHT ANGLED TRIANGLE THE CIRCUMCIRCLE HAS THE DIAMETER EQUAL TO THE HYPOTENUSE OF RIGHT ANGLED TRIANGLE
THUS LENGHT OF HYPOTENUS WILL BE 3*2=6
HENCE LENGHT OF OTHER TWO SIDES IS 3*(6/5) AND 4*(6/5)
HENCE AREA IS 1/2*6/5*6/5*3*4=216/25=8.64