5. In the adjoining figure, the circles with centres A and Btouch each

1.	5. In the adjoining figure, the circles with centres A and Btouch each other at E. Line I is a common tangent whichtouches the circles at C and D respectively. Find thelength of seg CD if the radii of the circles are 4 cm, 6 emConstruction : Draw seg AF I seg BD.
Answer» Construct AY \|\| CD => BY = ( 6 - 4 ) = 2cm Apply Pythagoras to get :x²+2²= 10² Hence, CD = 4√6 cm

5. In the adjoining figure, the circles with centres A and Btouch each other at E. Line I is a common tangent whichtouches the circles at C and D respectively. Find thelength of seg CD if the radii of the circles are 4 cm, 6 emConstruction : Draw seg AF I seg BD.

Answer»

Construct AY || CD

=> BY = ( 6 - 4 ) = 2cm

Apply Pythagoras to get :x²+2²= 10²

Hence, CD = 4√6 cm