Two points $A$ and $B$ are at a distance $6.5$ cm. Find a point $C$ at a distance of $7$ cm from $A$ and $6$ cm from $B$ .$

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Solution

Steps of construction :
1. Draw base $A B = 6.5$ cm.
2. Take $A$ and $B$ as centre, draw arcs of radii $7$ cm and $6$ cm above the line and below the line which intersects at C and $C^{'}$ .
3. Join $A C, B C$ and $C^{'} A$ and $C^{'} B$ .
4. Hence, $Δ A B C$ and $Δ A B C^{'}$ are the required triangles.

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Two points A and B are at a distance 6.5 cm. Find a point C at a distance of 7 cm from A and 6 cm from B.$

Steps of construction :1. Draw base AB=6.5 cm. 2. Take A and B as centre, draw arcs of radii 7 cm and 6 cm above the line and below the line which intersects at C and C′.3. Join AC,BC and C′A and C′B.4. Hence, ΔABC and ΔABC′ are the required triangles.

Two points $A$ and $B$ are at a distance $6.5$ cm. Find a point $C$ at a distance of $7$ cm from $A$ and $6$ cm from $B$ .$