33.9k views
5 votes
Transcript It's not possible to build a triangle with side lengths of 3, 3, and

9.
True
OB. False

1 Answer

2 votes

(In short you can’t because it’s not possible based on the pythagorean theorem)

Long version: Based on the Pythagorean theorem, a triangle can only be formed if the sum of the squares of the two shorter sides is equal to the square of the longest side. In this case, the side lengths given are 3, 3, and 9. To determine if a triangle can be formed, we need to check if the sum of the squares of the two shorter sides (3^2 + 3^2) is equal to the square of the longest side (9^2). Calculating the squares of the shorter sides: 3^2 = 9 3^2 = 9 Calculating the square of the longest side: 9^2 = 81 The sum of the squares of the shorter sides is 18 (9 + 9), which is not equal to the square of the longest side (81). Therefore, based on the Pythagorean theorem, a triangle cannot be formed with side lengths 3, 3, and 9.

(thank you to those who actually read all that cause that was a lot)

User Ege
by
7.3k points