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.

answer: h

step-by-step explanation: