the ratio of altitude and base of a triangle is 1 ratio 2 and area is 9 square metre find its base and altitude

It's base is 6m and altitude is 3m.

Step by Step Explanation.

Let the altitude (h) and base (b) of the triangle be x m and 2x m respectively.

Area (A) = 9 m^2

We know,

A=1/2*b*h

or, 9 = 1/2*2x*x

or, 9*2 = 2x^2

or, 18 = 2x^2

or, 18/2 = x^2

or, 9 = x^2

or, 3^2 = x^2

so, x = 3 m

Hence, altitude = x = 3m

and, base = 2x=2*3 = 6 m