Question

Find the length of the third side of the triangle in terms of x.

a) x + 1
b) 2x
c) x - 1
d) 3x

Answer 1

The length of the third side of the triangle in terms of x is 3x.

Step-by-step explanation:

In this case, we can use the Pythagorean Theorem to find the length of the third side of the triangle. The theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

So, if the lengths of the legs are a and b, and the length of the hypotenuse is c, then the equation becomes: a^2 + b^2 = c^2.

Using this equation, we can see that the answer is d) 3x.