Question

In ∆FANangle F = 80°, angleA = 40°, find out the greatest and the smallest side of the
triangle. State the reason.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:In ∆FAN,

∠F + ∠A + ∠N = 180° [Sum of the measures of the angles of a triangle is 180°]

∴ 80° + 40° + ∠N = 180°

 ∴ ∠N = 180° – 80° – 40°

∴∠N = 60°

Since, 80° > 60° > 40°

∴ ∠F > ∠N > ∠A  ∴ AN > FA > FN [Side opposite to greater angle is greater]  ∴ In ∆FAN, AN is the greatest side and FN is the smallest side

Now, in △FAN, ∠F and ∠A are the largest and smallest angle. The side opposite to the largest angle is the greatest side and the side opposite to the smallest angle is the smallest side . Hence, the greatest and the smallest side of the triangle are AN and ​FN respectively.

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