Select the correct answer.
you’re given two side lengths of 10 centimeters and 8 centimeters. the angle between the sides measures 40°. how many triangles can you construct using these measurements?
a.
0
b.
1
c.
2
d.
infinitely many

We can construct only one unique triangle of such measurements.

Thus, Option B: 1 is correct option, stating the number of triangles we can make of given measurements.

One side of a triangle = 8 cm

Second side of a triangle = 10 cm

Angle between those above two sides =  40°

According to the SAS ( Side- Angle-Side) congruence of a triangle we have:

If two triangles have two sides and one angle between them as congruent (that means, they are of equal measure), then it will be sure that both the triangles will be congruent (which means both the triangles will be of same measure).

Thus, we can construct only one unique triangle of such measurements.

Thus, Option B: 1 is correct option, stating the number of triangles we can make of given measurements.

Learn more about congruence of triangles here:

link

B. 1

Step-by-step explanation:

The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B.

Thus, you can construct only one triangle using these measurements.

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step-by-step explanation: