If the distance between the centres of two circles of radii 3, 4 is 25

1.	If the distance between the centres of two circles of radii 3, 4 is 25. Then the length of the transverse common tangent is
Answer» Given: If the distance between the CENTRES of TWO circles of radii 3, 4 is 25 To find: The length of the transverse common tangent Solution: Here we have to find the length of the transverse common tangent For this, we have the formula as: $\sqrt{d^{2}-(r1+r2)^{2}}$ where d is the distance between the centres of the circle which is 25 cm r1 is the radius of the first circle which is 3 cm r2 is the radius of the SECOND circle which is 4 cm now putting the values in the equation we get $\sqrt{25^{2}-(3+4)^{2}}$ $\sqrt{25^{2}-7^{2}}$ $\sqrt{625-49}$ $\sqrt{576}$ 24 cm The length of the transverse common tangent is 24 cm