Consider the following in the picture in the website below.
www.webassign.net/waplots/3/a/808112f7e2262ae957c47b37497635.gif
Find the length of the third side of the triangle in terms of x.
what, did you forget the Pythagorean theorem? If the 3rd side is y, then
y^2 = 7^2 - x^2
remember?
i forgot
To find the length of the third side of the triangle in terms of x, we need to use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In the given picture, we can see that one side of the triangle has a length of 8. We will assume that the other side, adjacent to the right angle, has a length of x.
Now, we can use the Pythagorean Theorem to find the length of the hypotenuse (the third side). Let's call the length of the hypotenuse 'c'.
According to the Pythagorean Theorem, we have the following equation:
c^2 = 8^2 + x^2
Simplifying this equation, we get:
c^2 = 64 + x^2
Now, taking the square root of both sides, we can solve for c:
c = √(64 + x^2)
Therefore, the length of the third side of the triangle, in terms of x, is √(64 + x^2).