Makakuha ng eksaktong at maaasahang sagot sa lahat ng iyong katanungan sa IDNStudy.com. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

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)