Respuesta :

In the given triangle, the angle between the two sides 5 and 6 is nearest 41°.

The term triangle means the polygon which has three sides and three angles and three vertices,

Here we have given that three  sides of a triangle have lengths 4, 5, and 6.

And here we need to find the angle between the two sides 5 and 6

According to the given values, let us consider a = 4, b = 5 and c = 6

So, the angle between 5 and 6 can be written as ∠b

And it can be calculated as the following is one way to perform the calculation and it may not be the best way.

∠B = arc cos(a² + c² - b²)/2ac

When we apply the values one the formula, then we get

=> 0.72273 rad

The approximate degree is written as

=> 41.41°

When we round off it then we get the resulting value,

=> 41°

Therefore, option (c) is correct.

To know more about Triangle here.

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