contestada

Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?

Respuesta :

meerkat18
There is many way how to get the length of a triangle. You can use many method but to your question the best method to use is Law of sine and cosine Side Angle Side triangle formula. This formula is this one (a^2 = b^+c^2-2bc*cos(angle)). So if your fill it up it would be (a^2 = 3^2+4^2-2*3*4*cos(60)). The answer would be 3.61
MrRoyal

The length of the third side is 3.6 units

How to determine the length of the third sides?

Let the sides of the triangle be;

x, y and z

So, we have:

x = 3

y = 4

<Z = 60

The length of the third side is then calculated using the following law of cosine

z^2 = x^2 + y^2 - 2xy cos(Z)

So, we have:

z^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(60)

Evaluate the exponents and the product

z^2 = 9 + 16 - 12

Evaluate the sum and the difference

z^2 = 13

Take the square root of both sides

z = 3.6

Hence, the length of the third side is 3.6 units

Read more about law of cosines at

https://brainly.com/question/4372174

#SPJ5

Otras preguntas