Question

Select the correct answer.

Answer 1

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

$c^2=10^2+8^2-2(10)(8)cos(40^o)$

$c^2=41.43\\c=6.44\ cm$

so

The measurements of the three sides of the triangle are unique

therefore

Using these measurements, only one triangle can be constructed