construct a triangle ABC in which base BC= 6 cm, angle B= 60 and angle BAC= 90. then construct another triangle whose sides are 3/4 of the corresponding sides of triangle ABC

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Solution

Steps of construction:
1. Draw triangle ABC using the given measurement.
a) Draw BC = 6cm.
$b) D r a w ∠ C B A = 60 ° a n d B C A = 30 ° .$
By angle sum property of triangle.

To draw triangle similar to the traingle ABC in tha ratio of $\frac{3}{4}$
$a) D r a w ∠ C B X a n d c u t t h e r a y B X i n f o u r e q u a l p a r t s (B_{1}, B_{2}, B_{3}, B_{4}) b) J o i n B_{4} t o C a n d t h e n d r a w a l i n e p a r a l l e l t o B_{4} C t h r o u g h B_{3} w h i c h c u t s B C a t C' . c) T h r o u g h C' d r a w a l i n e p a r a l l e l t o C A w h i c h c u t s A B a t A' . T h e ∆ A' B' C' i s t h e r e q u i r e d t r i a n g l e .$

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