Hypotenuse

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/hypotenuse

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. How long is Hypotenuse?Always the longest side of a right triangle
2. What is the geometric definition?The side opposite the right angle in a right-angled triangle
3. What is the fundamental theorem?Governed by the Pythagorean theorem: a² + b² = c²
4. Why is the hypotenuse the longest side?Because it is opposite the right angle, which makes it longer than the other two sides.
5. How do we find the length of a hypotenuse?Use the Pythagorean theorem: add the squares of the two legs, then take the square root of that sum.

Right-Angled Triangle: A triangle featuring one interior angle that measures exactly 90 degrees.
Legs (Catheti): The two sides of a right triangle that are adjacent to and form the right angle.
Pythagorean Theorem: A theorem stating that in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs (a² + b² = c²).
Euclidean Geometry: The system of geometry based on Euclid's postulates, dealing with flat, two-dimensional space.