Question

Calculate the missing links on the right triangle. Solve for C using the Pythagorean THEOREN(Hint a2+b2=c2)

Answer 1

We can apply the Pythagorean theorem to solve the sides of a right triangle.

With this theorem we know that the sum of the squares of the two legs is equal to the square of the hypotenuse (the largest side).

In this case, c is the hypotenuse. We can know that because its opposite to the right angle.

Then, as the sides wiht lengths 8 and 6 in. are the legs, we can write:

`\begin{gathered} 8^2+6^2=c^2 \\ 64+36=c^2 \\ c^2=100 \\ c=\sqrt[]{100} \\ c=10 \end{gathered}`

Answer: the hypotenuse c has a length of 10 inches.