2. Construct a triangle ABC with AB=4 cm, BC=5 cm, AC=3 cm. Draw a line through A,
Perpendicular to line BC.
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A triangle ABC is to be constructed such that . This means that the triangle ABC is similar to the triangle ABC with scale factor as
The steps of construction are as follows:
1. Draw a line segment BC = 5 cm.
2. With B as centre and radius = AB = 4 cm, draw an arc.
3. With C as centre and radius = AC = 6 cm, draw another arc, meeting the arc drawn in step 2 at the point A.
4. Join AB and AC to obtain ABC.
5. Below BC, make an acute angle CBX.
6. Along BX mark off three points B1, B2 , B3 such that BB1 = B1B2 = B2B3.
7. Join B3C.
8. From B2, draw B2C || B3C.
9. From C, draw CA || CA, meeting BA at the point A.
Then ABC is the required triangle.
I hope this may help you
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