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What is the hypotenuse of a right angle triangle when one side is 1.75 cm shorter than the other side with an area of 18.375 square cm taking pi as 3.142?
Wiki User
∙ 10y ago
Forget about pi for now and let the sides be (x-1.75) and x
If: 0.5*(x-1.75)*x = 18.375
Then: x2-1.75x-36.75 = 0
Solving the quadratic equation gives x a positive value of 7
Using Pythagoras: (7-1.75)2+72 = 76.5625 and its square root is 8.75
Therefore the hypotenuse is 8.75 cm
Note: pi*(5.25/2)2+pi*(7/2)2 = pi*(8.75/2)2
Wiki User
∙ 10y ago
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