SOLUTION: The lengths of the sides of a right angled triangle are x+1, x and 4 cm respectively. Find x if x+1> x > 4

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Question 1106989: The lengths of the sides of a right angled triangle are x+1, x and 4 cm respectively. Find x if x+1> x > 4
Answer by ikleyn(52787) About Me  (Show Source):
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Pythagoras says:


    4^2 + x^2 = (x+1)^2

    16 + x^2 = x^2 + 2x + 1

    16 = 2x + 1

    2x = 16-1 =  15  ====>  x = 15%2F2 = 7.5.


Answer.  x = 7.5,  and the sides of the triangle are  4, 7.5 and 8.5  cm.

It is well known  (8,15,17)  Pythagorean right-angled triangle.