Makahanap ng mga eksaktong solusyon sa iyong mga problema gamit ang IDNStudy.com. Ang aming mga eksperto ay handang magbigay ng malalim na sagot at praktikal na solusyon sa lahat ng iyong mga tanong.

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

Sagot :

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)