A triangle and parallelogram are constructed on the same base such that their area are equal. If the altitudes of the parallelogram is, then find the altitude of the triangle.
Step 1: Find the area of triangle and parallelogram
Let the triangle and parallelogram have common base
let the Altitude of the triangle is and of parallelogram is (which is equal to ), then
Area of triangle
Area of parallelogram
Step 2: Find the altitude of the triangle
As per given
Hence, altitude of triangle.