Question

In ΔFAN, ∠F=80°, ∠A=40° . Find out the greatest and the smallest side of the triangle. State the reason.

Answer 1

greatest angle80
smallest angle 40
angle N = 180-(80+40)=60

Answer 2

Answer:

The greatest side = AN

The smallest side = FN

Step-by-step explanation:

As per the question,

We have been provided the triangle, Δ FAN

Given angles are:

∠F = 80°

∠A = 40°

As we know

Sum of all the three angles of a triangle is equal to 180°.

∴ ∠F + ∠A + ∠N = 180°

⇒ 80° + 40° + ∠N = 180°

⇒∠N = 60°

Now we can conclude that,

The greatest and the smallest angle of the triangle are 80° and 40° respectively.

Since we know that the side opposite to greatest angle is greatest side and side opposite to the smallest angle is the smallest side.

Hence,

The greatest side of the triangle Δ FAN = AN

The smallest side of the triangle Δ FAN = FN