2.There is this theorem stating that the length of the altitude drawn to the hypotenuse of a right triangle is the geometric mean between the segments that the hypotenuse is divided into. In numerical form it would look like this:
6/altitude = altitude/x-6
We can solve the length of the altitude by using Pythagorean Theorem. The altitude creates two triangles within the large triangle. We will be using 6 and 10 to find the altitude. Fortunately, instead of squaring the sides we can simply use the common triple: 3,4,5 to deduce that the length of the altitude is 8.
Now that we have the value for the altitude we can substitute it into the equation above.
6/8=8/x-6 Cross multiply 64 = 6x - 36 Add 36 to both sides 100 = 6x 50=3x 50/3=x
13. There is another theorem that <span>an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle. In numerical form it would look like this: 20/x = 12/6 cross multiply 12x = 120 x=10</span>
