As part of a geometry assignment, John drew an equilateral triangle. Which of the following dimensions could represent the side lengths of the triangle John drew?
A. 10, 11, 12
B. 13, 15, 17
C. 16, 18, 21
D. 17, 17, 17 **
Yes, equilateral means all sides are equal
Tysm john but I wanna let everyone know NOT to put all the answers because they are scrambled for each person it is different so there is no point on trying because you will get a BAD GRADE
Thank you!
Well, it seems like John made quite the shape-shifting triangle! If he drew an equilateral triangle, all three sides must be the same length, like in option D (17, 17, 17). So, John's triangle is like a three-sided chameleon with its sides camouflaged as identical twins!
To determine which of the given options could represent the side lengths of an equilateral triangle, we need to recall the properties of an equilateral triangle. An equilateral triangle has three congruent sides, which means all three sides are of the same length.
Let's go through each option and check if it satisfies this condition:
A. 10, 11, 12
Since all three side lengths are not the same, this option does not represent an equilateral triangle.
B. 13, 15, 17
Again, all three side lengths are not equal, so this option does not represent an equilateral triangle.
C. 16, 18, 21
Once again, all three side lengths are not equal, so this option does not represent an equilateral triangle either.
D. 17, 17, 17
In this option, all three side lengths are equal to 17. This satisfies the condition for an equilateral triangle, where all sides are congruent. Therefore, this option represents an equilateral triangle.
So, the correct answer is option D. 17, 17, 17.