If one leg of a right triangle is 6 units and the other leg is 8 units, what is the length of the hypotenuse. {in units}

c=10 units

Step-by-step explanation:

The Pythagorean Theorem states that a^2+b^2=c^2.

This means that the sides are represented by a^2+b^2. In order to find the hypotenuse in this problem, we substitute a and b for 6 and 8.

6^2+8^2=c^2

we do what it shows us and get:

36+64=c^2

from there, we add the left side altogether then square each side to get rid of the root.

100=c^2

√100=√c^2

and we get c = 10 units.