Question

Construct a $\Delta \text{ABC}$ with BC $=7.5$ cm, AC $=5$ cm and $m\angle C=60{}^\circ $ .

Answer 1

Hint: To construct a triangle ABC with the given data, we have to firstly draw a line segment BC of length 7.5 cm. Then, at C, we have to mark $60{}^\circ $ using a protractor. We will draw a ray CP through it. Then, with C as center and radius as 5 cm, we have to draw an arc that cuts the ray CP at A. Finally, we have to join A and B.

Complete step by step answer:
We have to construct a triangle ABC with the given data. Firstly, let us draw a line segment BC of length 7.5 cm.

At C, we have to mark $60{}^\circ $ using a protractor. Then, we have to draw a ray CP through it.

Now, let us take C as center, radius is 5cm and draw an arc that cuts the ray CP at A.

Let us join A and B and label the sides.

Therefore, we have constructed $\Delta \text{ABC}$ .

Note: Students must learn to draw line segments and ray by taking measurements from a ruler. They must learn to draw angles using a protractor. In the above solution, we have taken BC as 7.5 cm. We can also change the points of the line segment as CB. In this case, we have to mark the given angle using the inner scale angles of the protractor. Students must also learn to draw an arc with a given measurement.