Answer:
38,78461
Step-by-step explanation:
The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180
So also the top angle of the biggest triangle is right:
60 + 30 = 90
We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.
Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:
6 : 12 = 12 : hypotenuse
6 * hypotenuse = 144
hypotenuse = 24
x = 24 - 6 = 18
For the same theorem:
18 : y = y : 24
y^2 = 432
y = 20,78461
18 + 20,78461 = 38,78461
