The right hand side should be
The question:
In a right angled triangle the second to longest side is 5cm longer than the shortest and the hypotenuse is 3 times longer than the shortest side. Find the exaact length of the hypotenuse.
The answer is (15+30 root2)/7
But I got this 5+root50 through the following working:
Could you please tell me where I went wrong?
Your working should be something like this
a² + b² = c²
(x)²+ (5+x)² = (3x)²
x² + 25 + 10x + x² = 9x²
2x² +10x + 25 =9x²
7x²- 10x -25 = 0
Use quad formula from here to get answer.
Firstly:
why is it 100-700 --> -4 * 7 *-25 should be positive since there are two negatives multiplying against one another
Secondly:
if it is 100-700 then it will be a NEGATIVE number which cannot square root and therefore the answer will be "no real solutions" which is even more incorrect