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Select the correct answer.
Youre 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
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Respuesta :

calculista

Answer:

Option B. 1

Step-by-step explanation:

We have

Two side lengths of a triangle of 10 cm and 8 cm, and the angle between the sides of the triangle measures 40°

so

Applying the law of cosines find out the length of the third side

Let

c ----> the length of the third side of triangle

[tex]c^2=10^2+8^2-2(10)(8)cos(40^o)[/tex]

[tex]c^2=41.43\\c=6.44\ cm[/tex]

so

The measurements of the three sides of the triangle are unique

therefore

Using these measurements, only one triangle can be constructed

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