Draw a triangle ABC with side BC 6 cm AB 5 cm and ABC 60o Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC

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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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Making the triangle:

Draw a line segment AB = 5 cm.
Make a 60o 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 BB1 = B1B2 = B2B3 = B33B4.
Join B4 to point A.
Draw a line from B3 parallel B4A 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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