Question

Please answer this. I need help. I never really covered Pythagorean Theorem in class

Answer 1

Pythagorean theorem:
`a^2 + b^2 = c^2.`

What is the Pythagorean theorem?

Of course, I'm here to help. The Pythagorean theorem is a fundamental concept in mathematics, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This theorem can be expressed algebraically as:

`a^2 + b^2 = c^2`

where "a" and "b" are the lengths of the two legs of the right triangle and "c" is the length of the hypotenuse. To use the Pythagorean theorem, you need to identify which sides of the triangle are the legs and which is the hypotenuse. Then, you can plug the lengths of the legs into the equation above and solve for the hypotenuse. Alternatively, if you know the lengths of the hypotenuse and one of the legs, you can solve for the length of the other leg.

For example, let's say you have a right triangle with legs of lengths 3 units and 4 units. To find the length of the hypotenuse, you can plug these values into the Pythagorean theorem as follows:

`3^2 + 4^2 = c^2`

9 + 16 =
`c^2`

25 =
`c^2`

c = √25

c = 5

Therefore, the length of the hypotenuse in this triangle is 5 units.

I hope this helps! Let me know if you have any other questions.