Question

suppose a triangle had two sides of length 2 and 3 and that the angle between there two sides is 60. what is the length of the third side of the triangle

Answer 1

The length of third sides of the triangle is 2.65 units.

Explanation:

It is given that triangle had two sides of length 2 and 3 and that the angle between there two sides is 60.

a = 2 units, b = 3 units and angle C = 60°.

Law of Cosine:

`c^2=a^2+b^2-2ab\cos C`

`c^2=2^2+3^2-2(2)(3)\cos (60^(\circ))`

`c^2=4+9-12((1)/(2))`

`c^2=7`

Square root both sides.

`c=2.64575131106\approx 2.65`

Therefore the length of third sides of the triangle is 2.65 units.