Question

HOLA,





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Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.​

Answer 1

Answer:

Steps of Construction:

Step I: A line segment AB of 8 cm is drawn.

Step II: With A as centre and radius equal to 4 cm, a circle is drawn which cut the line at point O.

Step III: With B as a centre and radius equal to 3 cm, a circle is drawn.

Step IV: With O as a centre and OA as a radius, a circle is drawn which intersect the previous two circles at P, Q and R, S.

Step V: AP, AQ, BR and BS are joined.

Thus, AP, AQ, BR and BS are the required tangents.

Answer 2

Answer:

⋆StepsOfConstruction⋆

1. Take AB = 8 cm.

2. With A as centre and r = 4 cm, draw a circle.

3. Similarly, with B as centre and r = 3 cm, draw a circle.

4. Now, draw a perpendicular bisector on AB and mark the point of intersection O.

5. Now, with O as centre and OA as radius, draw a circle.

6. Mark the meeting points of circles with centres O and A as Q and R.

7. Similarly, Mark the meeting points of circles with centres O and B as S and T.

8. Now, join BQ and BR as well as AS and AT.

9. BQ, BR, AS and AT are the required tangents.

Step-by-step explanation:

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