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Question

# Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are (2/3) of the corresponding sides of it.

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Solution

## Given that Construct a triangle of sides and then a triangle similar to it whose sides are of the corresponding sides of it. We follow the following steps to construct the given Step of construction Step: I- First of all we draw a line segment. Step: II- With A as centre and radius, draw an arc. Step: III- With B as centre and radius, draw an arc, intersecting the arc drawn in step II at C. Step: IV- Joins AC and BC to obtain. Step: V- Below AB, makes an acute angle. Step: VI- Along AX, mark off three points such that Step: VII- Join. Step: VIII- Since we have to construct a triangle each of whose sides is two-third of the corresponding sides of. So, we take two parts out of three equal parts on AX from point draw and meeting AB at C’. Step: IX- From B’ draw and meeting AC at C’ Thus, is the required triangle, each of whose sides is two third of the corresponding sides of.

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