The height of a triangle is 3cm less than the length of its base, and its area is 27 cm squared. Find the height.
2007-02-07 09:37:02 · 3 answers · asked by Kayla 3 in Education & Reference ➔ Homework Help
h=b-3
(b*h)/2=27
b*h=54
b*(b-3)=54
b^2-3*b-54=0
solving for b, you get b = 9 and h = 6...
2007-02-07 09:45:49 · answer #1 · answered by Dennis L 2 · 0⤊ 0⤋
0.5(base)(height)= Area of triangle
(Base) minus 3= height
Substitute it:
.5(base)(base minus 3) = 27
just distribute, combine like terms, and isolate the variable for base
Whatever base equals, plug it into your original formula
.5(what the base equals)(height) =27
and solve for height
2007-02-07 17:44:51 · answer #2 · answered by Pardon? 2 · 0⤊ 0⤋
h - 3cm= 27cmsq....divide both sides by 3
and your answer will be nine.
2007-02-07 17:44:53 · answer #3 · answered by super saiyan 3 6 · 0⤊ 0⤋