Hypotenuse 72524

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

Correct answer:

c1 =  18.1168 cm
c2 =  0.8832 cm

Step-by-step explanation:

v=4 cm c=19 cm  v2 = c1​⋅ c2​  v2 = c1​⋅ (c−c1​)  v2=x⋅ (c−x)  42=x⋅ (19−x) x2−19x+16=0  a=1;b=−19;c=16 D=b2−4ac=192−4⋅1⋅16=297 D>0  x1,2​=2a−b±D​​=219±297​​=219±333​​ x1,2​=9.5±8.616844 x1​=18.11684397 x2​=0.88315603  c1​=x1​=18.1168=18.1168 cm

Our quadratic equation calculator calculates it.

c2​=c−c1​=19−18.1168≐0.8832 cm  Verifying Solution:   v2​=c1​⋅ c2​​=18.1168⋅ 0.8832​=4 cm

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