Pythagoras theorem

We can say sometimes this topic is always word problem leading to QUADRATIC EQUATION

The lengths of the sides of a right angled triangle are (2x + 1)cm, (2x -1)cm and xcm.find x

Using pythagoras theorem

x^2 + (2x – 1)^2 = (2x + 1)^2

Expand the bracket

x^2 + 4x^2 – 4x + 1 = 4x^2 + 4x + 1

Collect like terms

5x^2 – 4x^2 – 4x -4x + 1 – 1 = 0

x^2 – 8x = 0

Expand bracket i.e

x(x – 8) = 0

we can say that

x = 0 or x – 8 = 0

therefore x= +8 answer

you can Solve some of the word problem equation and drop your answer if you like is just for practise.

EXERCISE

**The sum of squares of two consecutive even numbers is 244. Find the numbers.**

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