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
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

Answers

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

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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)

0