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

Answer:

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

Step-by-step 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:

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

$c^2=2^2+3^2-2(2)(3)\cos (60^{\circ})$

$c^2=4+9-12(\frac{1}{2})$

$c^2=7$

Square root both sides.

$c=2.64575131106\approx 2.65$

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