Question

Best answer will become brainliest. On a right-angled triangle, one length is x, another is x+1 and the hypotenuse of the triangle is 2x-1. Find x Show your working please, thank you.

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2

The three sides are given as x-1, x and x+1. Obviously the longest side x+1 should be the hypotenuse. Now we need to find the value of x.

(x+1)^2 = (x-1)^2 + x^2, or

x^2+2x+1 = x^2–2x+1+x^2, or

x^2–4x=0, or

x=4.

Hence the sides of the RAT are 3,4 and 5, the hypotenuse being 5.