SOLUTION: The sides of a right-angled triangle are X cm, (x+1) cm and (x+3) cm. Show that {{{ x^2-4x-8=0}}} and solve this equation to find the lengths of the sides of the triangle. Give you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The sides of a right-angled triangle are X cm, (x+1) cm and (x+3) cm. Show that {{{ x^2-4x-8=0}}} and solve this equation to find the lengths of the sides of the triangle. Give you      Log On


   

Question 1006078: The sides of a right-angled triangle are X cm, (x+1) cm and (x+3) cm. Show that +x%5E2-4x-8=0 and solve this equation to find the lengths of the sides of the triangle. Give your answers correct to two decimal places.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pythagorean fact for right triangle
x%5E2%2B%28x%2B1%29%5E2=%28x%2B3%29%5E2
x%5E2%2Bx%5E2%2B2x%2B1=x%5E2%2B6x%2B9
x%5E2%2B2x%2B1=6x%2B9
x%5E2-4x-8=0

x=%284%2B-+sqrt%2816%2B4%2A8%29%29%2F2

x=%284%2B-+sqrt%2816%2B2%2A16%29%29%2F2

x=%284%2B-+4%2Asqrt%283%29%29%2F2
The PLUS form is needed.
highlight%28x=2%2B2sqrt%283%29%29