Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Checking for the A)

4 + 8 > 10

There is one triangle possible.

For B)

60 + 40 + 90 = 190 ≠ 180 degree

No triangle possible because the sum of the angles in triangle is 180 degree.

For C)

There are two sides are given and one angle so SAS

One triangle is possible.

For D)

7 + 5 = 12

There is no triangle possible because the sum of the two sides is equal to the third side.

For E)

By the rule of ASA one triangle is possible.

For F)

60 + 80 + 40 = 180 degree

There are three angles are given, but no sides are given, so many triangles are possible.

Thus, the no triangle possible: B and D, one triangle possible : A, C, and E, and many triangles: F.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2