SOLUTION: What are the side measurements for a right triangle with the area of 90 sq. cm.

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Question 312611: What are the side measurements for a right triangle with the area of 90 sq. cm.

Found 2 solutions by checkley77, JBarnum:
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
MANY & VARIED.
A=BH/2
90=10*18/2
90=180/2
90=90
10^2+18^2=C^2
100+324=C^2
424=C^2
C=SQRT424
C=20.59 ANS. FOR THE HYPOTENUSE.
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90=12*15/2
90=180/2
90=90
12^2+15^2=C^2
144+225=C^2
369=C^2
C=SQRT368
C=19.9 ANS FOR THE HYPOTENUSE.
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90=4*45/2
90=180/2
90=90
4^2+45^2=C^2
16+2,025=C^2
2,041=C^2
C=SQRT=2,041
C=45.18 ANS FOR THE HYPOTENUSE.
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ALSO:(2 & 90), (6 & 30), (8 & 22.5) OR ANY PRODUCT=180.

Answer by JBarnum(2146) (Show Source):
You can put this solution on YOUR website!
is it a 45 45 90 triangle
a 30 60 90 triangle
or mixed degrees and 90 triangle
a=(1/2)LW
90=(1/2)LW
180=LW
so the 16 whole number possibles are:
L and W:
1 and 180
2 and 90
3 and 60
4 and 45
6 and 30
9 and 20
10 and 18
12 and 15
15 and 12
18 and 10
20 and 9
30 and 6
45 and 4
60 and 3
90 and 2
180 and 1
there are countless decimal possibilities...id suggest u ask a more detailed question.