Question

the height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height

Answer 1

A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm