50 followers Problem!!

Geometry Level 4

A right angled triangle ABC was given in which angle C is 90 degrees and B C = 4 BC = 4 . D D is a point on B C BC such that A D = 3 AD = 3 . Given that the perimeter of triangle ABD is equal to the perimeter of triangle ADC. Find:-

B D : D C . BD:DC.

This ratio can be expressed as a:b where a and b are co-prime numbers. What is a + b a + b ?

The answer is 4.

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