Answer:
20
Explanation:
The hypotenuse is 24 + 6 of the biggest right triangle.
= 30
If it's a 45-45-90 triangle, you know you can use Pythagorean theorem to solve for missing sides.
But, the 45-45-90 triangle is a special triangle. The two legs are equal.
So, assume the two legs = x.
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
Square root both sides to get rid of the power of 2.
x = 21.2
A shortcut to this without pythagorean theorem is dividing the hypotenuse by rad 2. If you do 30 / (rad2) on your calculator, you'll get 21.2
Now that we know x = 21.2, we can find y for the other right triangle.
X is the hypotenuse, since it is opposite to the right angle.
x^2 = y^2 + 6^2
We know x to the power of 2 is 450 (highlighted)
450 = y^2 + 36
Subtract 36 on both sides
y^2 = 414
Square root both sides
y = 20.347
approx. 20