Maharashtra State BoardSSC (English Medium) 9th Standard
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In δ Fan, ∠ F = 80° , ∠ a = 40° . Find Out the Greatest and the Smallest Side of the Triangle. State the Reason. - Geometry

Sum

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

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Solution

In ∆FAN,
∠F + ∠A + ∠N = 180   (Angle sum property)
⇒ 80 + 40 + ∠N = 180   
⇒ 120 + ∠N = 180
⇒ ∠N = 180 − 120
= 60
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.

Concept: Properties of inequalities of sides and angles of a triangle
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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.4 | Q 4 | Page 43
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