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Home > Areas Related To Circles

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Areas Related To Circles

Question
CBSEENMA10008556
Wired Faculty App

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides arc 7 over 5 of the corresponding sides of the first triangle. 

Solution
Short Answer

Steps of Construction :

(i)     Construct a ΔABC in which AB = 7cm, AC = 5 cm, BC = 6 cm.
(ii)    At A draw an acute ΔBAX below base AB.
(iii)   Along AX, mark off 7 points A1, A2, A1,.,
A7. Such that AA1 = A1 A2 = A2 A3
= A3 A4 =......= A6A7.

(iv) Join A5B.
(v) From A7 draw A7B’ || A5B meeting produced part of AB at B’.
(vi) From B’, draw B‘C’ || BC intersecting the extended line segment AC at C’.
Thus, AB‘C’ is the required triangle each of whose sides is 7/5 of the corresponding sides of the triangle ΔABC.
Justification :


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Some More Questions From Areas Related to Circles Chapter

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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Let ABC be a right angle in which AB = 6 cm, BC = 8 cm and ∠B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.  

Draw a line segment of length 7.6 cm and divide it in the ratio 3 : 5.

Divide the given line segment AB of length 6 cm internally in the ratio 3 : 4.

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