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How do you find the perimeter of a right angle triangle when one side is 1.5 cm greater than the smaller side and has an hypotenuse of 7.5 cm?
Wiki User
∙ 13y ago
Suppose the smallest side is x cm.
Then the other leg is x + 1.5 cm.
By Pythagoras, x2 + (x + 1.5)2 = 7.52 or x2 + x2 + 3x + 2.25 = 56.25
ie 2x2 + 3x - 54 = 0
or 2x2 + 12x - 9x - 54 = 0
2x(x + 6) - 9(x + 6) = 0
(2x - 9)(x + 6) = 0 so that x = 4.5 or x = -6
Then, since x is a length, x > 0 so that x = 4.5 cm.
Thus the 3 sides are 4.5 cm, 6cm and 7.5 cm which gives a perimeter of 4.5 + 6 + 7.5 = 18 cm.
Wiki User
∙ 13y ago
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In an isosceles right triangle the hypotenuse is radical three and if the hypotenuse is 12 then what is the smaller leg of that triangle?
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