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Maths CBSE Live product
Class 9
Triangles
SSS & RHS Congruence - II
8.
TBQ - Show that ABC is an isosceles triangle
Question:
2
m.
In \(ΔABC\), \(AD\) is the perpendicular bisector of \(BC\) (see fig.). Show that \(ΔABC\) is an isosceles triangle in which \(AB = AC\).
Proof:
\(∆ABD≅∆ACD\) [By
AAA
SSA
SAS
SSS
Congruence rule]
\(AB = AC\) [By
Vertically opposite
CPCT
common side
Alternate angles
]
Hence \(ΔABC\) is an isosceles triangle
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