Construction of Right Angle Triangle When One Side and Hypotenuse is Given
Draw a right ...
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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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 drawn parallel to AC.
Thus, ΔA′BC′ is the required triangle.