The base and the height of a triangle arein the ratio 5:3. If the area

1.	The base and the height of a triangle arein the ratio 5:3. If the area of the triangle6.is 67.5 m2 find its base and height.1S
Answer» Let the base of triangle b = 5xLet height of triangle h = 3xGiven, Area of triangle = 67.5 m^2 Area of triangle = (1/2)bh Then,(1/2)5x3x = 67.515x^2 = 135x^2 = 135/15 = 9x = 3 Base of triangle = 5x = 53 = 15 mHeight of triangle = 3x = 33 = 9 m

The base and the height of a triangle arein the ratio 5:3. If the area of the triangle6.is 67.5 m2 find its base and height.1S

Answer»

Let the base of triangle b = 5xLet height of triangle h = 3xGiven, Area of triangle = 67.5 m^2

Area of triangle = (1/2)*b*h

Then,(1/2)*5x*3x = 67.515x^2 = 135x^2 = 135/15 = 9x = 3

Base of triangle = 5x = 5*3 = 15 mHeight of triangle = 3x = 3*3 = 9 m