SOLUTION: The figure shows a right angled triangle where angle ACB=90°. Given that AB=(2x+1)cm, BC=2x cm and AC=(x-5) cm, 1) write down an equation in X, 2) find the value of X, 3) find

Algebra ->  Pythagorean-theorem -> SOLUTION: The figure shows a right angled triangle where angle ACB=90°. Given that AB=(2x+1)cm, BC=2x cm and AC=(x-5) cm, 1) write down an equation in X, 2) find the value of X, 3) find       Log On


   

Question 1118979: The figure shows a right angled triangle where angle ACB=90°. Given that AB=(2x+1)cm, BC=2x cm and AC=(x-5) cm,
1) write down an equation in X,
2) find the value of X,
3) find the area of triangle ABC.
Please help me with this question. Your effort is highly appreciated.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Draw and label your triangle.

AC%5E2%2BBC%5E2=AB%5E2
%28x-5%29%5E2%2B%282x%29%5E2=%282x%2B1%29%5E2
Algebra steps should yield x%5E2-14x%2B24=0
and then %28x-2%29%28x-12%29=0.

x=2 will not work, but x=12 will work.
highlight_green%28x=12%29
.
.