233k views
4 votes
Find the length of the hypotenuse of the right triangle. Use pencil and paper. Explain how you can interpret the Pythagorean Theorem using the areas of squares. A right triangle has a vertical leg labeled 7 and a horizontal leg labeled 24. The hypotenuse is labeled c. 24 7 c. The length of the hypotenuse is

1 Answer

4 votes

Answer: The length of the hypotenuse is 25

Explanation:

Hi, to answer this question we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)

Replacing with the values given:

c^2 = 7^2 + 24^2

c^2 = 49+576

c^2 = 625

c = √625

c = 25

Feel free to ask for more if needed or if you did not understand something.

User Corentin Limier
by
4.7k points