+129918 We have a 9 - 12 - 15 right triangle
So x + y = 15 = base length of this triangle
The area of this triangle =(1/2) (9)(12) = (1/2) ( 108) = 54
The area can also be expressed as
54 = (1/2) base * z
54 = (1/2) 15 * z
108 = 15 * z
z = 108/15 = 36/5
So
x + y + z = 15 + 36/5 = [ 75 + 36 ] / 5 = 111 / 5
+74 Because this triangle is a right triangle, by the Pythagorean theorem, we can figure out the hypotenuse by square rooting the sum of the square of the two legs, 9^2+12^2=sqrt225. The sqrt of 225 is 15 so x+y=15. Now we figure out the area of the big triangle. 9*12/2=54. Another way of calculating the area is by multiplying 15 by z and dividing by 2. Since we already figured out the area of the big triangle is 54, we can substitute 54 as the area and we get 54=z*15/2. Solving for z we get 7.2. x+y+z=15+7.2=22.2
