Draw a line segment AB of length 8.5 cm. With A as centre, draw a circle of radius 4 cm. With B as centre, draw another circle of radius 3 cm. From the centre of each circle, draw a tangent to the other circle.

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Solution

Steps of Construction :
Step 1. Draw a line segment AB = 7 cm.
Step 1. Draw circles with A and B as centres and radius 3 cm and 2.5 cm respectively.
Step 2 Bisect it at M.
Step 4. Draw a circle with M as centre and radius equal to MA and MB to intersect the given circles at points T₁_,T₂, T₃, T₄.
Step 5. Join AT₁ , AT₂_,BT₃, BT₄_.

Then AT₁ , AT₂_,BT₃, BT₄are the required tangents.

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