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 $5 over 3$ times the corresponding sides of the given triangle.

Solution

Steps of Construction :
(i) Draw line BC = 4 cm.
(ii) Draw BA = 3 cm line segment with 90° at B.

(iii)    Join AC to form right ΔABC.
(iv)    Construct an acute ∠CBX downwards.
(v)    Along BX mark off 5 equal points B₁, B₂, B₃, B₄, B₅ such that BB₁ = B₁B₂=... = B₄B₅.
(vi)    Join C to B₃ and draw a line through B₅ parallel to B₃C intersecting the extended line segment BC at C’.
(vii)    Again we draw C’A’ parallel to AC.Thus, ΔA‘BC’ is the required triangle.
Justification :

Some More Questions From Areas Related to Circles Chapter

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Areas Related To Circles

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 $5 over 3$ times the corresponding sides of the given triangle.

Some More Questions From Areas Related to Circles Chapter

Draw a triangle ABC with side BC = 7 cm, ∠B = 45°, ∠A = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of ΔABC.

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Draw a circle of radius 3 cm. Take two points at a distance 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

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For Daily Free Study Material Join wiredfaculty

Areas Related To Circles

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 times the corresponding sides of the given triangle.

Some More Questions From Areas Related to Circles Chapter

Draw a triangle ABC with side BC = 7 cm, ∠B = 45°, ∠A = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of ΔABC.

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Draw a circle of radius 3 cm. Take two points at a distance 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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 $5 over 3$ times the corresponding sides of the given triangle.