Respuesta :
Answer:
Only one triangle can be constructed.
Step-by-step explanation:
We are given two side lengths of a triangle of 10 cm and 8 cm. The angle between the sides of the triangle measures 40°.
With the above-given data only one unique triangle can be constructed.
And the length of the third side can be calculated using the property of triangle as
a² = 10² + 8² - 2 × 10 × 8 Cos 40° {Where a is the length of the third side}
⇒ a² = 41.43
⇒ a = 6.44 cm. (Answer)
