# If the lenght of hypotenuse of a right triangle is 10 dm, finde the lengt of other two sides when the area is maximum

1
by juvinpaks4250
are you sure about the given?
if the lenght of the hypotenius of a rght trianle is 10 dm , find the lenght of the other sides when the area is maximum.
help me pls tanxxx
i will try my best =)
tnx soo much

2015-02-16T14:44:17+08:00

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A²+b²=10²
a²+b²=100
Therefore, since no a and b are given, think of a factor than when the square of the sum of a and b is 100.

1.if a=8, b=6; same as if b=8, a=6
A=1/2(8)(6)
A=24

2.if 5 and 5√3
A=1/2(5)(5√3)
A=25√3/2 or 21.65

3.if 9 and √19
A=1/2(9)(√19)
A=19.62

Well, since the values of 8 and 6 are pretty much more maximum or higher than the others, well a=8 or 6 and b=6 or 8. Hope this helps =)
so its like (a,b):(8,6) and (6,8)

tnx soo much
np =)