Question

The height of a right triangle is 3 times the length of the base. If the area of the triangle is 54 cm^2 what is the height in centimeters

Answer 1

area of triangle=1/2 times base times height

height=3 times base
h=3b

so
area=54

54=1/2bh
subsittue 3b for h
54=1/2b(3b)
54=(3/2)(b²)
times both sides by 2/3
36=b²
sqrt both sides
6=b

sub back
h=3b
h=3(6)
h=18

the heigh is 18cm