Math CentralQuandaries & Queries


Question from bryan, a teacher:

The sides of a right angled triangle are x, x+1, x+2 cm. Find the perimeter.?


The lengths of the sides are x cm, x + 1 cm and x + 2 cm. Since this is a right angled triangle the hypotenuse is the longest side and hence its length must be x + 2 cm.


Since this is a right angled triangle you can apply Pythagoras theorem and get

(x + 2)2 = x2 + (x + 1)2

Expand both sides and solve for x.

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