SOLUTION: i need help with this problem ASAP please help me by tonight. thanks
the problem says
Geometry: the perimeter of a triangle is 24inches. the longest side is 4inches longer
Question 125530: i need help with this problem ASAP please help me by tonight. thanks
the problem says
Geometry: the perimeter of a triangle is 24inches. the longest side is 4inches longer than the shortest side, and the shortest side is three fourths the length of the middle side. find the length of each side of the triangle.
please help,
thanks Found 2 solutions by scott8148, ankor@dixie-net.com:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! let x="middle side", so 3x/4="shortest side" and (3x/4)+4="longest side" __ perimeter (sum of the sides) is 24
You can put this solution on YOUR website! Geometry: the perimeter of a triangle is 24inches. the longest side is 4inches longer than the shortest side, and the shortest side is three fourths the length of the middle side. find the length of each side of the triangle.
:
Let x = length of the middle side:
:
Write an expression for the other two sides as described below:
:
"the shortest side is three fourths the length of the middle side."
Short side = .75x
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"the longest side is 4inches longer than the shortest side,"
Long side = .75x + 4
:
So we have the perimeter equation:
1x + .75x + (.75x+4) = 24
:
1x + .75x + .75x + 4 = 24
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2.5x = 24 - 4; add up the x's, subtract 4 from both sides
:
2.5x = 20
x = ; divide both sides by 2.5
x = 8 inches is the length of the middle side
Then
.75(8) = 6 inches is the length of short side
and
6 + 4 = 10 inches is the length of the long side
;
:
Check our solution, find the perimeter with these values:
8 + 6 + 10 = 24 inche
:
:
How about this? Did this all make sense to you. Any questions?
