SOLUTION: help please and thank you the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.

Question 384691: help please and thank you
the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the base of a triangle is 4 cm greater than the height the area is 16 cm^2 find the height and the lenght of the base.
...
height = h
base = h+3
..
1/2 * base* height = area
1/2*h*(h+3)=16
multiply by 2
h(h+3)=32
h^2+3h=32
h^2+3h-32=0
Find roots using quadtratic formula
....
a=1,b=3,c=-32
...
b^2-4ac=137
...

x1=4.35 cm

x2=-7.35 (ignore)

RELATED QUESTIONS
The base of a triangle is 8 cm greater than the height. The area is 42 cm^2. Find the... (answered by mananth)

Please help: The base of a triangle is 6 cm greater than the height. The are is 56... (answered by solver91311)

The base of a triangle is 77 cm greater than the height. The area is 39 cm squared 2.... (answered by Alan3354)

The base of a triangle is 4 cm greater than the height. The area is 48cm^2. Find the... (answered by jim_thompson5910)

The base of a triangle is 3 cm greater than the height. The area is 2 cm^2. Find the... (answered by oberobic)

The base of a triangle is 6 cm greater than the height. The area is 36 cm^2. Find the... (answered by saifoo.khan)

The base of a triangle is 10 cm greater than the height. The area is 28 cm^2. Find the... (answered by Cromlix)

The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the... (answered by jojo14344)

the base of a triangle is 6 cm greater than the height. The area is 20cm^2. Find the... (answered by Fombitz)