how to construct the two similar triangles with 1 common angle
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Construction of Similar Triangles
The steps of construction of similar triangles are as follows (Refer figure)
Draw a ray BX which makes acute angle with BC on the opposite side of vertex A.
Locate 5 points on the ray BX and mark them as B1, B2, B3, B4 and B5 such that B B1 = B1 B2 = B2 B3 = B4 B5.
Join B5C
Draw a line parallel to B5C through B3 [Since 3 is the smallest among 3 and 5] and mark C’ where it intersects with BC.
Draw a line through the point C’ parallel to AC and mark A’ where it intersects AB.
A’BC’ is the required triangle.
The steps of construction of similar triangles are as follows (Refer figure)
Draw a ray BX which makes acute angle with BC on the opposite side of vertex A.
Locate 5 points on the ray BX and mark them as B1, B2, B3, B4 and B5 such that B B1 = B1 B2 = B2 B3 = B4 B5.
Join B5C
Draw a line parallel to B5C through B3 [Since 3 is the smallest among 3 and 5] and mark C’ where it intersects with BC.
Draw a line through the point C’ parallel to AC and mark A’ where it intersects AB.
A’BC’ is the required triangle.
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