Hypotenuse height segments

We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2

Final Answer:

c1 =  18.1168 cm
c2 =  0.8832 cm

Step-by-step explanation:

v=4 cm c=19 cm  v2 = c1 c2  v2 = c1 (cc1)  v2=x (cx)  42=x (19x) x219x+16=0  a=1;b=19;c=16 D=b24ac=1924116=297 D>0  x1,2=2ab±D=219±297=219±333 x1,2=9.5±8.616844 x1=18.11684397 x2=0.88315603  c1=x1=18.1168=18.1168 cm

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