The measurement of the vertex angle ( $70^{o}$ ) and the base of a triangle is given. Rahul constructed a triangle ABC with B as the vertex angle. Which of the following will be true for the triangle ABC.

AB = BC

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AC = AB

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AC = AB = BC

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< BAC = < BCA

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Solution

The correct options are
A AB = BC

D < BAC = < BCA
With these given conditions, only an isosceles triangle can be drawn. In an isosceles triangle two sides and two angles are equal. Since the vertex angle is at B :
AB = BC
$∠$ BAC = $∠$ BCA

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