Question

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of the third side of the triangle

Answer 1

c = 60.65 cm

Explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

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

a = 33 cm, b = 37 cm and C is 120°

So,

`c^2=(33)^2+(37)^2-2* 33* 37\cos (120)\\\\c=60.65\ cm`

So, the length of the third side of the triangle is 60.65 cm.