G-22gr ĺŻ(Theorem) 6LIfa perpendicular is drawn from the vertex co

1.	G-22gr ĺŻ(Theorem) 6LIfa perpendicular is drawn from the vertex containing the right angle of a right trianha triauale an hath sides of the perpendicular are similar[Th
Answer» Proof: In ∆ ADB and ∆ ABC A= A ( commom ) ADB = ABC ( each 90°) Hence. ∆ ADB ~ ∆ ABC ( BY AA ) .……...(1) similarly : In ∆ BCD & ∆ ABC C= C ( common ) BCD = ABC ( each 90°) hence ∆ BCD ~ ∆ ABC ( by AA).……..(2) FROM eq. (1) and (2). ∆ ADB~∆ ABC & ∆ BDC ~∆ ABC . NOTE: If one ∆ is similar to another and second ∆ is similar to third ∆ then first and third ∆ are similar hence :∆ ABD ~ ∆ BCD PROVED

G-22gr ĺŻ(Theorem) 6LIfa perpendicular is drawn from the vertex containing the right angle of a right trianha triauale an hath sides of the perpendicular are similar[Th

Answer»

Proof:

In ∆ ADB and ∆ ABC

A= A ( commom )

ADB = ABC ( each 90°)

Hence. ∆ ADB ~ ∆ ABC ( BY AA ) .……...(1)

similarly :

In ∆ BCD & ∆ ABC

C= C ( common )

BCD = ABC ( each 90°)

hence

∆ BCD ~ ∆ ABC ( by AA).……..(2)

FROM eq. (1) and (2).

∆ ADB~∆ ABC & ∆ BDC ~∆ ABC .

NOTE: If one ∆ is similar to another and second ∆ is similar to third ∆

then first and third ∆ are similar

hence :∆ ABD ~ ∆ BCD

PROVED