Answer:
E) 1/2
Step-by-step explanation:
This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.
First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: [tex]a^{2} + b^2 =c^2[/tex]
Let's plug in our a and b values
[tex]5^2 + 12^2 = C^2[/tex]
Simplify
[tex]144 + 25 = c^2[/tex]
[tex]169 = c^2[/tex]
Square both sides
[tex]c = 13[/tex]
But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.
[tex]12x + 14x = 13[/tex]
Simplify
[tex]26x = 13[/tex]
Divide by 26
Answer is 1/2
