Q18 of 55 Page 1

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 3/5 times the corresponding sides of the given triangle.

Steps of construction:


1. Draw a line segment AB of 4 cm.


2. Take A as a center and make an angle of 90°. Draw a ray AR and by taking a radius of 3 cm, cut the ray at C.


3. Then, join CB. Thus, ABC is the required right-angled triangle whose sides other than hypotenuse are 4 cm and 3 cm.


Now, for the other triangle, steps of construction are as follows:


1. Draw a ray AX making an acute angle BAX at A.


2. Mark 5 points A1, A2, A3, A4, A5 of equal distance on the ray AX such that A A1 = A1A2 = A2A3, A3A4 = A4A5.


3. Now, join A3B and join the line through A5 parallel to A3B which intersect the extended line segment AB at B’.


4. Now, draw a line segment parallel to BC which intersect at the extended line segment AC at C’.


5. Thus, triangle AB’C’ is the required triangle whose sides are 3/5 of the previous triangle.



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