Question

In triangle ABC, segment AD is perpendicular to segment BC, and segment AC, is perpendicular to segment BA.

Based on the information in the diagram, what is the length of segment DC?

Answer 1

Explanation:

based on the geometric mean theorem

h² = pq

h = height of the main right-angled triangle.

p and q are the segments of the baseline of the main right-angled triangle.

12² = 36x

144 = 36x

x = 144/36 = 4

so, DC is 4 units long.