Question

the radii of two circles are 25cm and 9cm the distance between their centres is 34cm find the length of the common tangent segment to these circles​

Answer 1

$\huge\boxed{\displaystyle \rm {Answer:}}$

length of the common tangents is 30 cm

length of the common tangents is 30 cmThe radii of two circles are r1 = 25 cm and r2 = 9 cm.

length of the common tangents is 30 cmThe radii of two circles are r1 = 25 cm and r2 = 9 cm.distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}V{(34)? - (25 - 9)??

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}V{(34)? - (25 - 9)??V[(34 - 16)(34 + 16)}

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}V{(34)? - (25 - 9)??V[(34 - 16)(34 + 16)}V[18 x 50}

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}V{(34)? - (25 - 9)??V[(34 - 16)(34 + 16)}V[18 x 50}= V(900}

distance between their center = r, + r2 = 25 + 9 = 34 cm [ externally touch each other ]length of common tangents of these circles = V{(distance between centres)? - (r, - r2)?}V{(34)? - (25 - 9)??V[(34 - 16)(34 + 16)}V[18 x 50}= V(900}= 30 cm