Find the base and height of a 60cm2 triangle if the base is known to be 5 times the height.

In order to find the area of a triangle, you need to multiply the length of its base by the height drawn to it:

S = a * h.

Since the base of the triangle is five times its height, we express it as follows:

x is the height of the triangle (h);

5x – the base of the triangle (a);

x * 5x = 60;

5x ^ 2 = 60;

x ^ 2 = 60/5 = 12;

x = √12 ≈ 3.46 cm;

h = 3.46 cm;

a = 5 3.46 ≈ 17.3 cm.

Answer: the height of the triangle is 3.46 cm; the base of the triangle is 17.3 cm.