A right-angled triangle has an adjacent of (x + 1) and (x - 1). (a) Find the length of the hypotenuse in terms of x. (b) Explain why the triangle can't be an isoceles triangle.
(a). Using Pythagoras' Theorem, (x + 1)2 + (x - 1)2 = x2 + 2. (b). (x + 1) cannot = (x - 1) for any x.
DA
Related Maths GCSE answers
All answers ▸Yesterday it took 5 cleaners 4 and ½ hours to clean all the rooms in a hotel. There are only 3 cleaners to clean all the rooms in the hotel today. How much time will it take them?
A piggy bank contains 200 coins, 1/4 of these are 1p coins, 100 of these are 5p coins and the rest are 10p coins, how much is the piggy bank worth in £s?
Solve the following equation by factorisation: x^2 - 2x -15 = 0
Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.