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## Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60o. Then construct a triangle whose sides are 3/4 of the corresponding sides of the triangle ABC.

By:tarun101

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## Answers

Making the triangle:Draw a line segment AB = 5 cm.

Make a 60

^{o}angle from point B and draw BC = 6 cm.

Join A and C to get the triangle ABC.

Dividing the base:

Draw a ray at an acute angle from BA.Plot 4 points on BA so that BB

_{1}= B

_{1}B

_{2}= B

_{2}B

_{3}= B

_{3}3B

_{4}.

Join B

_{4}to point A.

Draw a line from B

_{3}parallel B

_{4}A so that it meets AB at point A’.

Draw A’C’ || AC.

Triangle A’C’B is the required triangle.

Triangles. If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Fututron

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