Question

Raman had to draw an isosceles $△$ABC with base length BC = $5cm$. Which one of the following information is sufficient for him to construct the triangle?

• A. Angle other than base angles is ${65}^{\circ }$
• B. base angle is ${65}^{\circ }$
• C. Median BD is equal to 6cm
• D. Median CD is equal to 6cm

Answer 1

The correct option is B base angle is ${65}^{\circ }$

In case of an isosceles triangle both the base angles are equal.
Hence if we know the measure of the base angles and the base length, this information will be sufficient for construction of the triangle.
Here both base angles = ${65}^{\circ }$ and the included side = 5cm.
Hence construction is possible with this information