The lengths of the sides of a triangle are x cm, (x+1) cm and (x+2) cm . Determine x so that this triangle is a right -angled triangle.

3

Step-by-step explanation:

If it's a right triangle, the Pythagorean theorem applies. Remember that is

The longest side (c) will be x+2, and the other two sides are a and b.

Now we have to solve this all out. :(

Combine like terms.

Move everything to one side, combining like terms.

Now factor.

(x-3)(x+1) = 0

x = 3 or -1.

Clearly a side can't be -1 units, so the answer is 3.

You also can do this much faster if you remember the Pythagorean triple 3, 4, 5.

make sure you have version 2.50

try looking in the very back of the book : )

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