Q. 14.6( 21 Votes )

# Construct a trian

Answer :

We have been given two sides and one angle of triangle ABC.

Steps of construction for this case would be:

1. Draw a line segment sufficiently long using a ruler.

2. Locate points A and B such that AB = 4.5 cm on the line segment so formed in the previous step.

3. At A, construct a line segment AX, sufficiently large, such that ∠XAB = 75°; use protractor to measure the angle 75°.

4. With A as centre and radius 5.5 cm, draw a circle or semicircle or an arc cutting the line segment AX at C using a compass and a ruler.

5. Join BC using a ruler.

Thus, ABC is the required triangle.

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