Question

draw two tangents from a point which is 10cm away from the centre of a circle of a circle of radius 5cm measure the length of the tangents​

Answer 1

Answer:

Step-by-step explanation:

Step 1: With O as the center draw a circle of radius 6 cm.

Step 2: Mark a point P at a distance of 10 cm from O and join OP.

Step 3: Draw the perpendicular bisector of OP. Let it meet OP at M.

Step 4: With M as center and MO as radius, draw another circle.

Step 5: Let the two circles intersect at X and Y.

Step 6: Join PX and PY. They are required tangents.

Thus, this is the resulting figure.

To determine the length of the tangent, consider the triangle OXP and apply Pythagoras theorem to it:

OX²+ PX²= OP²

6² + PX² = 10²

PX² = 100 − 36

PX² = 64

PX = 8 cm

Thus, the length of the tangents is 8 cm.

I have attached a refernce image . But first try with yourself.

Thank You :)