Question

in triangle abc angle abc is equal to 90° and BD perpendicular to AC Express AD× DC in terms of BD​

Answer 1

Answer:

$AD\times DC=BD^2$

Step-by-step explanation:

From similarity theorem, ΔADB and ΔBDC will be similar

Therefore, their corresponding sides will be proportional

In ΔADB, AD is corresponding to BD in ΔBDC

And side BD, in ΔADB is corresponding to side DC in ΔBDC

Thus,

$\frac{AD}{BD} =\frac{BD}{DC}$

or, $AD\times DC=BD^2$

Hope the answer is helpful.