Hypotenuse and height

In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs.

Final Answer:

a =  179.5746
b =  76.013

Step-by-step explanation:

c=195 h=70  c=x+y h2=xy  x(c−x)=h2  x(195−x)=702 −x2+195x−4900=0 x2−195x+4900=0  a=1;b=−195;c=4900 D=b2−4ac=1952−4⋅1⋅4900=18425 D>0  x1,2​=2a−b±D​​=2195±18425​​=2195±5737​​ x1,2​=97.5±67.86936 x1​=165.369359802 x2​=29.630640198  a=x1​⋅ c​=165.3694⋅ 195​=179.5746

Our quadratic equation calculator calculates it.

b=x2​⋅ c​=29.6306⋅ 195​=76.013

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticplanimetricsnumbersUnits of physical quantitiesGrade of the word problem

 
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