Question 708129: my daughter is working with triangles and the triangle has an x on the left side and on the bottom it says 75 and on the right side of the triangle is says 105. I am trying to find a formula on how to solve the problem and get the answer for the x. if u could please help me find the formula on how to solve the problem i would truly appreciate it. thank you so so much and God bless U!! appreciate your time!! take care
jess
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Jess,
you are not giving me enough information, but I hope I can guess.
To find the length of the third side, you need information about the angles.
My guess is that your triangle looks kind of like this:
 That little square in the corner means that the sides measuring x and 75 are perpendicular, which means that is a right triangle.
Maybe the drawing shows that little square, or maybe the problem stated that it was a right triangle, and you just forgot to mention it.
In right triangles, the perpendicular sides are called the "legs" of the right triangle and the other, longer side is called the "hypotenuse".
The Pythagorean theorem says that the lengths of the legs, squared, add to the length of the hypotenuse squared.
In this case
 -->  -->  --> 
The length  can be calculated as an approximate decimal number, or as an exact irrational number.
The approximate value is  (or  or  if you needed more decimal places).
The exact result is  or 
because  so 
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