Question

A right triangle's height is 3 times the length of its base. if the area of the triangle is 600, what is the height?

Answer 1

  a = 1/2 x b x h 

h = 3b 

so 1/2 x b x 3b = (1/2)(3b^2) = 150 

(150 x 2)/3 = b^2 

100 = b^2 

b = square root of 100 = 10 

h = 3b = 3 x 10 = 30