Constructing a Similar Triangle with a Scale Factor
Question 7 Dr...
Question
Question 7 Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 53 times the corresponding sides of the given triangle.
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Solution
Steps of Construction: Step I:BC = 3 cm is drawn. Step II:At B, A ray making an angle of 90∘ with BC is drawn. Step III:With B as centre and radius equal to 4 cm, an arc is made on the previous ray intersecting it at point A.
Step IV:AC is joined to form ΔABC. Step V:A ray BX is drawn making an acute angle with BC opposite to vertex A. Step VI:5 points B1,B2,B3,B4andB5 are marked at equal distances on BX. Step VII:B3C is joined B5C' is made parallel to B3C. Step VIII:A'C' is joined together. Thus, ΔA′BC′ is the required triangle.