Hi,

One side is 'x' the other 'x+12' and the hypotenuse is '60'

Applying the Pythagorean Theorem

 x^2 + (x+12)^2 = 3600

  2x^2 + 24x + 144 = 3600

   2x^2 + 24x -3456 = 0

   x^2 + 12x - 1728 = 0

factoring  (or using the Quadratic Formula)

  (x+48)(x-36) = 0

    (x+48)=0  x = -48  |tossing out negative solution for length

   (x-36) = 0 

     x = 36 and the other side = 48



CHECKING our Answer***

 1296 + 2304 = 3600 

RELATED QUESTIONS

Hello! Can you please explain how to solve this word problem?

The hypotenuse of a... (answered by josgarithmetic)

Hello! I need help solving the following please...In a right triangle one side is 1 unit... (answered by stanbon)

How to do you solve for one side of a triangle. The hypotenuse is 38 and the other side... (answered by amfagge92,Alan3354)

One side of a rectangle is 5 inches and the other side is x inches. Find the value of x... (answered by user_dude2008)

one side of the triangle is x and the other side is x+4, the hypotemus (long side) is 20.  (answered by richard1234)

The product of the ages of a set of triplets is 12 times the sum of their ages. Determine  (answered by MathLover1)

can you please help me solve this question: (((If one side of a right triangle is 12 and... (answered by EMStelley)

I need help solving this problem. this is the work i did so far: 

there is a triangle... (answered by jim_thompson5910)

I am asked to find the values of the variables of a 30-60-90 special right triangle. I am  (answered by linht117)