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Standard VII
Mathematics
RHS Criteria for Congruency
51. ABC is an...
Question
51. ABC is an isosceles triangle such that AB=AC D is the mid point of AC. A circle is drawn taking BD as diameter which intersects AB at point E. PROVE that AC=4AE.
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Q.
A
B
C
is an isosceles triangle such that
A
B
=
A
C
.
D
is the mid point of
A
C
. A circle is drawn taking
B
D
as diameter which intersects
A
B
at point
E
.then
A
C
=
3
A
E
.
Q.
In given figure ABC is an isosceles triangle with AB=AC and D is a point on AC such that
B
C
2
=
A
C
×
C
D
. Prove that BD=BC.
Q.
A
B
=
A
C
,
D
is the mid point of
A
C
,
B
D
is the diameter of circle, than prove that
A
E
=
1
4
A
C
.
Q.
In a right angled
△
A
B
C
a circle is drawn with AB as a diameter which intersect hypotenuse
A
C
at point
P
. Prove that
P
B
=
P
C
Q.
ABC is an isosceles triangle in which AB = AC A circle through B touches side AC at its mid point D and intersects AB at P, then AP will be-
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