Question

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

Answer 1

C)3.4 mm

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=
`50^(\circ)`

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

Cosine law:

`c=√(a^2+b^2-2abcos\alpha)`

Substitute the values then we get

`c=\sqrt{4^2+4^2-2(4)(4)cos50^(\circ)}`

`c=3.4 mm`

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

Option C is true.