in 1-2 sentences distinguish between definitions and undefined terms in geometry
ChatGPT
Definitions in geometry are precise explanations of geometric concepts, providing clear and specific meanings to terms like "circle" or "parallel lines." Undefined terms, on the other hand, are fundamental concepts that are accepted without formal definition, such as "point," "line," and "plane."
joanna has fourstraws of different lengths the table shows the lengths of the straws
straw A, B, C, D
length in inches 7, 9, 3, 10
joanna makes as many triangles as she can using combinations o three of these straws determine how many different triangles she can make what combinations of straws does she use show your work
ChatGPT
To determine the number of different triangles Joanna can make using the given straws, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
First, let's sort the lengths of the straws in ascending order:
Straw C: 3 inches
Straw A: 7 inches
Straw B: 9 inches
Straw D: 10 inches
Now, let's analyze the combinations:
Using straws C, A, and B:
3
+
7
>
9
3+7>9 (valid)
Using straws C, A, and D:
3
+
7
>
10
3+7>10 (invalid)
Using straws C, B, and D:
3
+
9
>
10
3+9>10 (invalid)
Using straws A, B, and D:
7
+
9
>
10
7+9>10 (valid)
So, Joanna can make 2 different triangles using the given straws. The combinations of straws she uses are:
Straw C, A, and B
Straw A, B, and
1 answer