# 50 followers Problem!!

Geometry Level 4

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

$BD:DC.$

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

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