As shown in the figure, in the right triangle ABC, AC &; BC = 24, hypotenuse AB = 8, CD perpendicular to AB and D, find the length of de De is the center line on the hypotenuse ab

As shown in the figure, in the right triangle ABC, AC &; BC = 24, hypotenuse AB = 8, CD perpendicular to AB and D, find the length of de De is the center line on the hypotenuse ab

Is ce the center line on the hypotenuse AB?
S right triangle ABC = AC * BC / 2 = AB * CD / 2
cd=ac*bc/ab=24/8=3
CE = AB / 2 = 8 / 2 = 4
de²=ce²-cd²=4²-3²=7
de=√7.