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Byju's Answer
Standard VII
Mathematics
Equal Angles Subtend Equal Sides
ABC is an iso...
Question
ABC is an isosceles triangle with AC = BC. If
A
B
2
=
2
A
C
2
, prove that
△
A
B
C
is right triangle.
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Solution
Given,
A
C
=
B
C
and
A
B
2
=
2
A
C
2
Now,
A
B
2
=
2
A
C
2
A
B
2
=
A
C
2
+
A
C
2
A
B
2
=
A
C
2
+
B
C
2
Hence,
△
A
B
C
is a right triangle right-angled at C.
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