We want to see if the given statement is true or false.
We will prove that the statement is false.
The statement is:
" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."
We can use the rule:
Sin(θ) = (opposite cathetus)/(hypotenuse).
Let's define:
hypotenuse = H
opposite cathetus = H/2
Let's see if the given angle is equal to 60°, we will have:
Sin(θ) = (H/2)/H = 1/2
θ = Asin(1/2) = 30°
So we can see that the statement is false.
If you want to learn more, you can read:
https://brainly.com/question/6322314
