The base and height of triangle are in the ratio 3:4. If it’s area is216 cm2 . Find its base and height.

Sure, let's solve this step by step.

Step 1: We know that the area of a triangle is given by the formula 1/2 * base * height.

Step 2: We are given that the base and height are in the ratio 3:4. So, let's assume the base as 3x and the height as 4x.

Step 3: Substituting these values in the formula, we get the equation 1/2 * 3x * 4x = 216 cm^2.

Step 4: Simplifying this equation, we get 6x^2 = 216.

Step 5: Solving for x, we get x = sqrt(216/6) = 6.

Step 6: Substituting x = 6 in the base and height, we get base = 3x = 36 = 18 cm and height = 4x = 46 = 24 cm.

So, the base of the triangle is 18 cm and the height is 24 cm.