Question

Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is ${110}^{\circ }$.

Answer 1

To construct: An isosceles triangle PQR where PQ = RQ = 6.5 cm and$\angle$ Q =${110}^{\circ }$.
Steps of construction:

(a) Draw a line segment QR = 6.5 cm.
(b) At point Q, draw an angle of ${110}^{\circ }$ with the help of protractor, i.e., $\angle$ YQR=${110}^{\circ }$
(c) Taking Q as centre, draw an arc with radius 6.5 cm, which cuts QY at point P.
(d) Join PR
It is the required isosceles triangle PQR.