SOLUTION: In a right-angled triangle the length of hypotenuse is (13x + 1) cm. The lengths of the other two sides ar 12x cm and (5x + 2) cm respectively.Find the value of x.

Algebra ->  Trigonometry-basics -> SOLUTION: In a right-angled triangle the length of hypotenuse is (13x + 1) cm. The lengths of the other two sides ar 12x cm and (5x + 2) cm respectively.Find the value of x.      Log On


   

Question 874388: In a right-angled triangle the length of hypotenuse is (13x + 1) cm. The lengths of the other two sides ar 12x cm and (5x + 2) cm respectively.Find the value of x.
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2Bb%5E2=c%5E2
Substitute
%2812x%29%5E2%2B%285x%2B2%29%5E2=%2813x%2B1%29%5E2
Square
144x%5E2%2B25x%5E2%2B20x%2B4=169x%5E2%2B26x%2B1
Subtract 169x^2 from both sides
20x%2B4=26x%2B1
Subtract 20x from both sides
4=6x%2B1
Subtract one from both sides
3=6x
Divide both sides by 6
1%2F2=x

½