Subject: Quadratic Equations

A right-angled triangle has one side that is 8 cm shorter that the hypotenuse. The other side is 1 cm shorter than the hypotenuse. Find the length of the sides.

please help i can't figure it out!

Pamela, Jeff, Kayleigh & Jacob


Since you know the lengths of the legs of the triangle in terms of the hypotenuse, I would let the length of the hypotenuse be x cm. The other two sides of the triangle then have lengths x - 8 cm and x - 1 cm.

By the theorem of Pythagoras,

x2 = (x - 8)2 + (x - 1)2

Can you solve this for x?

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