# Q17 use pythagorean theorem | Summary and Q&A

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October 19, 2016
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blackpenredpen
Q17 use pythagorean theorem

## TL;DR

Use the Pythagorean theorem to find the value of P in a right triangle with sides labeled A, B, and C.

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### Q: What is the Pythagorean theorem and how is it used in finding the value of P?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. By substituting the known values into the equation, we can solve for the unknown side, P.

### Q: Why is the hypotenuse the longest side in a right triangle?

The hypotenuse is the longest side in a right triangle because it is opposite the right angle. In a right triangle, the hypotenuse is always the side opposite the right angle.

### Q: What is the significance of labeling the sides of the right triangle as A, B, and C?

By labeling the sides, we can substitute the corresponding values into the Pythagorean theorem equation. This allows us to solve for the unknown side, P.

### Q: Can the square root of 96 be simplified further?

Yes, the square root of 96 can be simplified to 4√6. By identifying that 16 is a perfect square factor of 96, we can simplify the square root expression.

## Summary & Key Takeaways

• The video discusses how to find the value of P in a right triangle using the Pythagorean theorem.

• The theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.

• By labeling the sides of the triangle and substituting the known values into the equation, the value of P can be determined.