Question

If angle BAC = 90 degree and AD is perpendicular BC, find the value of BD×CD ÷ AD^2​

Answer 1

Step-by-step explanation:

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Answer 2

$\bf\large\underline\pink{Solution:-}$

In a triangle ABC, angle BAC = 90 degree and AD is perpendicular to BC then,

Solution:

The figure is attached below

In Triangle ABC, angle BAC = 90 degree and AD is perpendicular to BC

Given in the question a perpendicular is drawn AD on BC from angle BAC which is 90 degree

So, these two triangles  ABD and CAD  are similar

By Corresponding part of Similar Triangles (CPST),

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

This proves that the ratio of areas of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

By cross-multiplication we get,

Which is our Required Expression

Hence , option 2 is correct

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