Question

in ABC, B is the right angle and BD is perpendicular to AC, then: a. BC2 = AC X DC b. BC2 = AD X AC D c. BC2 = BD X AC d. BC2 = DC2 + AD

please give a step by step explanation...​

Answer 1

Answer:

In triangles CBD and ABC

angle CDB = angle ABC (Each 90°)

angle C = angle C (Common)

So, triangle CBD ~ triangle ABC (AA similarity)

Thus,

DC/BC = BC/AC (Corresponding parts of similar triangles)

=> BC² = AC × DC

So answer is option (b)