Help me with this math question please
The height of a triangle is 6 m more than twice the length of the base. The area of the triangle is 18 m2. Find the height of the triangle. ??
26-30, F
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Roflcash4 · 22-25, M
h=2b+6
A=18
A=1/2bh
18=1/2b(2b+6)
multiply both sides by 2 to get 36=b(2b+6)
distribute the b to get 36=2b^2+6b
subtract 36 from both sides to get 0=2b^2+6b-36
Factor to get 0=2b^2+12b-6b-36 and simplify to get (2b-6)(b+6)
Set both factors to zero to get b=-6 and b=3
The length of the base can't be negative so the base has to be 3m and the height is 2(3)+6=12m.
A=18
A=1/2bh
18=1/2b(2b+6)
multiply both sides by 2 to get 36=b(2b+6)
distribute the b to get 36=2b^2+6b
subtract 36 from both sides to get 0=2b^2+6b-36
Factor to get 0=2b^2+12b-6b-36 and simplify to get (2b-6)(b+6)
Set both factors to zero to get b=-6 and b=3
The length of the base can't be negative so the base has to be 3m and the height is 2(3)+6=12m.
bookerdana · M
The height of a triangle is 6 m more than twice the length of the basehighlight%28x%29.
The area of the triangle is 28 m^2 = L*H
x(2x+6) =28
2x^2 + 6x -28 = 0
x^2 + 3x -14 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-3+%2B-+sqrt%28+65%29%29%2F%282%29+ = (-3 +8.06)/2 = 2.5 rounded to 1 decimal point (throwing out neg solution for unit measure
length = 2.5m, height is 11m
I'm LAZY,I got this from https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.619188.html
The area of the triangle is 28 m^2 = L*H
x(2x+6) =28
2x^2 + 6x -28 = 0
x^2 + 3x -14 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-3+%2B-+sqrt%28+65%29%29%2F%282%29+ = (-3 +8.06)/2 = 2.5 rounded to 1 decimal point (throwing out neg solution for unit measure
length = 2.5m, height is 11m
I'm LAZY,I got this from https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.619188.html
@bookerdana Except the area isn't 28...
@bookerdana At least you tried lol
Area = 1/2 * height * base = 18
Multiply by 2
H * b = 36
H= 2b+6
(2b+6)* b=36
2b^2 + 6b = 36
Simplify ... divide by 2
B^2 +3b = 18
B^2 + 3B - 18 =0
(B+6)(B-3) = 0
B = 3
Multiply by 2
H * b = 36
H= 2b+6
(2b+6)* b=36
2b^2 + 6b = 36
Simplify ... divide by 2
B^2 +3b = 18
B^2 + 3B - 18 =0
(B+6)(B-3) = 0
B = 3
Candypie2010 · 26-30, F
@questionWeaver wow u got it right thank u 😢
TripHazard · 31-35, M
Just burn it and go on jobseekers/social security for life
Spitbak · 56-60, M
😈666 m!