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If the angle of intersection at a point...

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is `90^(@)`, then the length (in cm) of their common chord is

A

`(13)/(5)`

B

`(120)/(13)`

C

`(60)/(13)`

D

`(13)/(2)`

Text Solution

AI Generated Solution

To find the length of the common chord of two intersecting circles with radii 5 cm and 12 cm, where the angle of intersection is 90 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information:** - Radius of Circle 1 (C1): \( r_1 = 12 \) cm - Radius of Circle 2 (C2): \( r_2 = 5 \) cm - Angle of intersection at point A: \( \angle C1AC2 = 90^\circ \) ...
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