Answer: The value of the unknown leg would be 36.
Step-by-step explanation:
So we are given a leg of one triangle, the hypotenuse, and a very crucial theorem, the Pythagorean Theorem.
The Pythagorean Theorem states that "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
So that means, a^2 + b^2 = c^2.
one leg^2 + one leg^2 = hypotenuse^2.
In this case though, we are given a leg and the hypotenuse. That means we must the other unknown leg. We can do this by rewriting the Pythagorean Theorem so that it fits our requests:
c^2 - a^2 = b^2
hypotenuse^2 - one leg^2 = another leg^2.
Substitute the values that are known into the new equation:
39^2 - 15^2 = x^2
1521 - 225 = 1296
Find the square root of 1296:
sqrt of 1296 = 36
So the value of the other leg is 36.
