SOLUTION: If the altitude and the base of a triangle are increased by 2 cm the area would increase by 19 cm2 . If the altitude is increased by 3 cm and the base is decreased by 4 cm the area
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Question 353810: If the altitude and the base of a triangle are increased by 2 cm the area would increase by 19 cm2 . If the altitude is increased by 3 cm and the base is decreased by 4 cm the area will decrease by 5cm2 .Find the base and the altitude of the triangle. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let altitude be x
and base be y
...
x+2
y+2
area increased by 19
...
1/2 *(x+2)(y+2)=1/2 * xy +19
xy+2x+2y+4 =xy+19
2x+2y=19-4
2x+2y=15.......................1
...
x+3
y-4
..
area decreased by 5
...
1/2*(x+3)(y-4)=1/2 * xy-5
xy-4x+3y-12=xy-5
-4x+3y=7.......................2
multiply equation 1 by 2
4x+4y=30
add to equation 2
7y=37
y= 5.4 cm
x= 2.3 cm
...
m.ananth@hotmail.ca
