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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