Question

Use the Pythagorean theorem to to find XT in the right triangle below

Answer 1

Answer: 10

Explanation:

The Pythagorean theorem is shows that
`a^(2) + b^(2) = c^2`.

In this case:

`a = 8`

`b = 6`

`c =` XY

Now, inserted into the original equation it would look like
`8^2 + 6^2 = c^2`
That makes
`c = 100`
Remember that these numbers are squared (
`x^2`) so to get the actual answer we need to square root 100 (
`c`).
Which looks like
`\sqrt100` wich equals 10.

please tell me if this helped.

Answer 2

To find the length of XY in the right triangle, we can use the Pythagorean Theorem, which 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 lengths of the other two sides.

In this case, the length of one side is 6 and the length of the other side is 8. Let's label the length of XY as c, which is the hypotenuse. According to the Pythagorean Theorem, we have:

c^2 = 6^2 + 8^2

Simplifying this equation, we get:

c^2 = 36 + 64

c^2 = 100

Taking the square root of both sides, we find:

c = √100

c = 10

Therefore, the length of XY is 10.