Answer: The median line on the hypotenuse is 1. Obviously, the hypotenuse is 2.
Therefore, the sum of two right angles is the square root of 6,
That is, the square root of a+b = 6.
Square a 2+2ab+b 2 = 6.
And Pythagorean theorem, A 2+B 2 = 4.
So 2ab=2
S= 1/2
On average, 20 garments can be sold every day, and each garment has the profit of 44 yuan. If the price of each garment is reduced by 1 yuan, five more garments can be sold every day. If the daily profit is 1600 yuan, how much should the price of each garment be reduced?
Answer: suppose you want to subtract x yuan from each piece.
(44-X)(20+5X)= 1600
880+220X-20X-5X2- 1600=0
880+200X-5X2- 1600=0
200X-5X2-720=0
-5X2+200X-720=0
5X2-200X+720=0
X2-40X+ 144=0
(X-4)(X-36)=0
X 1=4, X2=36 44 >4 and 36.
4 yuan or 36 yuan can realize each price reduction 1.600 yuan's profit.
Explanation: (44-X), X was originally obtained by dividing X by 1, and (44-X) is the profit after price reduction.
(20+5X) is the number of clothes sold every day.
(44-X)(20+5X) is the profit of selling clothes every day, because it costs 1600 yuan, so
(44-X)(20+5X)=0
Then the equation is changed into the form of adding the numbers on the left and the number on the right is 0, and then it is obtained by cross multiplication.
(44-X)(20+5X)=0, and finally X 1 = 4, X2 = 36, because 44 >; 4 and 36, so
4 yuan or 36 yuan can reduce the price per unit 1600 yuan's profit.