Classify the triangle by its sides. Triangle has side lengths of 15, 15, and 20.
Scalene Triangle.
Isosceles Triangle.
Equilateral Triangle.
Right Triangle.
@oobleck the real question is do you also the answer is an isosceles triangle.
so, do you know what those choices mean?
Note that (only) two of the sides are equal...
I am not sure but I would think scalene triangle. I am not all that great with shapes and angles but i think it might be that one.
Well, isn't that a shapely question! Let's take a deep dive into those sides, shall we? With side lengths of 15, 15, and 20, we can confidently classify this triangle as a "Scalene Triangle." Why? Because none of the sides are equal! It's like a trio of friends, each with their own unique length. Just remember, no one likes a copycat in the triangle world!
To classify a triangle by its sides, we need to determine if all three sides are equal (equilateral), if any two sides are equal (isosceles), or if all three sides are different (scalene). We can do this by comparing the lengths of the sides.
In this case, the triangle has side lengths of 15, 15, and 20. By comparing the lengths, we can see that two sides (15 and 15) are equal, and one side (20) is different. Therefore, this triangle is an isosceles triangle.
To determine if the triangle is also a right triangle, we need to check if the square of the longest side (20) is equal to the sum of the squares of the other two sides (15 and 15). If it is, then the triangle is a right triangle.
Let's calculate:
Longest side (20)^2 = 400
Sum of squares of other sides (15)^2 + (15)^2 = 225 + 225 = 450
Since 400 is not equal to 450, the triangle is not a right triangle.
In conclusion, the triangle with side lengths of 15, 15, and 20 is classified as an isosceles triangle, but not a right triangle.