# How do I find the value of x?Do the side lengths form a pythagorean triple?

The Pythagorean Theorem allows for

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Thus,

A list of a few Pythagorean triples (a couple because there are infinitely many) can be found at the link I've provided.

Pythagorean triples are found in https://tutor.hix.ai

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To find the value of ( x ) and determine if the side lengths form a Pythagorean triple, you can use the Pythagorean theorem. The 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 lengths of the other two sides.

Given side lengths ( a = 6 ) and ( b = 8 ), you can use the Pythagorean theorem to find ( x ) by:

[ x^2 = a^2 + b^2 ]

[ x^2 = 6^2 + 8^2 ]

[ x^2 = 36 + 64 ]

[ x^2 = 100 ]

[ x = \sqrt{100} ]

[ x = 10 ]

So, the value of ( x ) is 10.

To determine if these side lengths form a Pythagorean triple, we can check if ( a^2 + b^2 = x^2 ). Substituting the values:

[ 6^2 + 8^2 = 10^2 ]

[ 36 + 64 = 100 ]

[ 100 = 100 ]

Since the equation holds true, the side lengths ( 6, 8, ) and ( 10 ) form a Pythagorean triple.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #8 # and the triangle has an area of #36 #. What are the lengths of sides A and B?
- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #6 #, #2 #, and #4 #, respectively. What is the rectangle's area?
- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #12 #, #8 #, and #14 #, respectively. What is the rectangle's area?
- How would I find the area of a 45-45-90 triangle with one side of length 73?
- Sherry spots a car as she is looking down at a 70° angle from the top of the Eiffel Tower, which is 1063 ft tall. How far away from the base of the tower is the car?

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