Which statement is necessarily true if bd is an attitude to the hypotenuse of right abc?

Step-by-step explanation:

Given: Δ ABC is a right triangle right angled at B.

If BD is an attitude to the hypotenuse of right triangle ABC.

Then Δ ABD is a right triangle.

Now, in Δ ABC and Δ ADB

∠A=∠A   [Reflexive property]

∠ABC=∠BDA   [each 90°]

Then by AA similarity criteria,

Δ ABC ≈ Δ ADB

We know that in similar triangles, the corresponding sides are proportional.

Since side AB of Δ ABD is corresponding to side AC of Δ ABC.

and side BC of Δ ABD is corresponding to side BD of Δ ABC.

∴ we have,