ABC is a right triangle of sides making right angle at b AB
plz answer fast fast plz
Answers
Answered by
1
Step-by-step explanation:
you are coppy my question
Answered by
6
Answer:
Hey dear
Step-by-step explanation:
◦•●◉✿We know that if a perpendicular is drawn from the vertex of a right angle of a right angled triangle to the hypotenuse, then triangle on both sides of the perpendicular are similar to the whole triangle and to each other.
We have
△ADB∼△ABC
∴
AB
AD
=
AC
AB
(In similar triangles corresponding sides are equal)
AB
2
=AD×AC.........(1)
Also △BDC∼△ABC
∴
BC
CD
=
AC
BC
(In similar triangles corresponding sides are equal)
BC
2
=CD×AC.........(2)
Adding (1) and (2) we get
AB
2
+BC
2
=AD×AC+CD×AC
AB
2
+BC
2
=AC(AD+A=CD)
From the figure AD+CD=AC
AB
2
+BC
2
=AC.AC
Therefore, AB
2
+BC
2
=AC
2
solution✿◉●•◦
Similar questions