Draw a triangle ABC with sides BC = 6.3 cm, AB = 5.2 cm and angle ABC = 60°. Then construct a triangle whose sides are _4_ times the corresponding sides of triangle ABC.
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Answers
Answer:
Hey there,
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.
Hope this helps!
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