I need help... I don't need the answer just how I would figure this out.
Identify the hypotenuse of the triangle by giving its letter.
It is a triangle with the left and bottom lines of the triangle as a right angle. The longest line of the triangle is the top.
q, p, and r
q and p are a part of the right angle side. r is the longest part.
I am having trouble starting this problem and figuring it out.
AS I SAID, PLEASE NO ANSWERS. JUST HOW WOULD I SOLVE IT.
To find the hypotenuse you need to know the pythagorean theorem where a^2 + b^2 = c^2. Here a and b are the sides of the triangle that make the right angle and c is the hypotenuse. If you plug it in to that equation you should have your answer.
The hypotenuse is always the longest side and across from the right angle. So which letter does that match up with?
OOOOO OKAY so R is the longest side making R the hypotenuse
Good job!
Thank you... I was under the intention that I had to find something from it being a 90 degree angle lol. It has been awhile since I took geometry. Not too long but still a great refresher. :D
To solve this problem and identify the hypotenuse of the triangle, we need to understand the properties of a right triangle.
First, draw the triangle based on the given information. Label the sides q, p, and r.
Next, recall that in a right triangle, the hypotenuse is the side opposite the right angle and is always the longest side. In this case, the top side of the triangle is the longest, which means it is most likely the hypotenuse we are looking for.
To confirm this, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.
Given that q and p are a part of the right angle side, we can square their lengths and add them together. Then, find the square root of the result. If the square root matches the length of side r, then side r is indeed the hypotenuse.
To summarize the steps:
1. Draw the triangle and label the sides q, p, and r.
2. Identify the longest side; it is most likely the hypotenuse.
3. Apply the Pythagorean theorem: square the lengths of the other two sides, add them together, take the square root of the result.
4. Compare the square root to the length of side r.
- If they match, side r is the hypotenuse.
- If they don't match, reconsider which side could be the hypotenuse.
Remember, this explanation provides a general approach to solving the problem. Always double-check your work and consider any additional information that might be given in the problem.