Consider
.
Given:

To find:
The length of BC.
Solution:
We have,

We know that the corresponding parts of congruent triangles are congruent (CPCTC).
(CPCTC)

The length of BC is 5 m. Therefore, the correct option is A.
The numbers listed are:
3, 3 ,3 ,7 ,8 ,8 ,11 ,11 ,13 ,14 ,15 ,17, 18, 19, 21, 23, 23 ,25,27, 28, and 29.
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
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5x = 1414
x = 1414 / 5
x = 282.80