Two sides of a triangle each measure 4 mm. The angle between these two sides has a measure of 50?. What is the length of the third side of the triangle?(A) 7.3 mm (B) 2.4 mm (C) 3.4 mm (D) 1.1 mm

Respuesta :

Answer:

C)3.4 mm

Step-by-step explanation:

We are given that

Length of side of  a triangle,a =4 mm

Length of side of a triangle, b=4 mm

The angle between two sides=[tex]50^{\circ}[/tex]

We have to find the length of third side of triangle.

Cosine law:

[tex]c=\sqrt{a^2+b^2-2abcos\alpha}[/tex]

Substitute the values  then we get

[tex]c=\sqrt{4^2+4^2-2(4)(4)cos50^{\circ}}[/tex]

[tex]c=3.4 mm[/tex]

Hence, the length of third side of the triangle=3.4 mm

Option C is true.