Question

in a triangle ABC angle A =65 degrees and angle C= 35 degrees. which is the longest side. give reason

Answer 1

Let us consider a triangle ∆ABC;
According to Angle sum property;
A°+B°+C°=180°
Therefore,
65°+B°+35°=180°
B°=180°-65°-35°
B°=180°-100°
B°=100°
 If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.
Therefore;
The side AC is the longest.

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Answer 2

by using angle sum property

angle a +angle b +angle c=180

65+angle b+35=180

angle b=180-100

angle b=80

by theorem

AC is the longest side of the triangle