#### 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°.

#### Solution

An isosceles triangle PQR has to be constructed with PQ = QR = 6.5 cm. A rough sketch of the required triangle can be drawn as follows.

The steps of construction are as follows.

1) Draw the line segment QR of length 6.5 cm.

2) At point Q, draw a ray QX making an angle 110° with QR.

3) Taking Q as centre, draw an arc of 6.5 cm radius. It intersects QX at point P.

4) Join P to R to obtain the required triangle PQR.

Is there an error in this question or solution?

Solution 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°. Concept: Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (Sas Criterion).