Question

two angles of a triangle measure 37 degrees and 48 degrees what is the third measure

Answer 1

two sides of a triangle measure 11 and 3. identify the die measure that would not create a triangle

Answer 2

To find the third angle, add the measures of the two given angles and subtract the sum from 180 degrees (which is the total measure of a triangle).

37 degrees + 48 degrees = 85 degrees

180 degrees - 85 degrees = 95 degrees

Therefore, the third angle measures 95 degrees.

Answer 3

For any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the Triangle Inequality Theorem.

In this case, if one side measures 11 and the other side measures 3, the sum of the two sides is 11 + 3 = 14. For these sides to form a triangle, the third side must have a length less than the sum of these two sides (14).

If we test different lengths for the third side:
- If the third side measures 2, then 11 + 3 > 2, so it would form a triangle.
- If the third side measures 12, then 11 + 12 = 23 which is greater than 3, so it would form a triangle.
- If the third side measures 15, then 11 + 15 = 26 which is greater than 3, so it would form a triangle.
- But if the third side measures 1, then 11 + 3 < 1, which violates the Triangle Inequality Theorem.

Therefore, the third side measuring 1 would not create a triangle with the sides measuring 11 and 3.