MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

SSS Criteria for Congruency

Question 2In ...

Question

Question 2
In $Δ A B C, A D$ is the perpendicular bisector of BC (see the given figure).
Show that $Δ A B C$ is an isosceles triangle in which AB = AC.

Open in App

Solution

$I n Δ A D C a n d Δ A D B, A D = A D (C o m m o n) ∠ A D C = ∠ A D B (E a c h 90^{\circ}) C D = B D (A D i s t h e p e r p e n d i c u l a r b i s e c t o r o f B C) ∴ Δ A D C ≅ Δ A D B (B y S A S c o n g r u e n c e r u l e) ∴ A B = A C (B y C P C T) T h e r e f o r e, A B C i s a n i s o s c e l e s t r i a n g l e i n w h i c h A B = A C$

Suggest Corrections

thumbs-up

2

Similar questions

In ΔABC, AD is the perpendicular bisector of BC (see the given figure). Show that ΔABC is an isosceles triangle in which AB = AC.

Δ A B C, A D

is the perpendicular bisector of

B C

Δ A B C

is an isosceles triangle in which

A B = A C

Δ A B C, A D

is the perpendicular bisects of BC sent Fig. show that

Δ A B C

is an isosceles triangle in which AB = AC.

△ A B C, A D

is the perpendicular bisector of

B C

(see given figure). Show that

△ A B C

is an isosceles triangle in which

A B = A C

△ A B C

, AD is perpendicular bisector of BC (See adjacent figure). Show that

△ A B C

is an isosceles triangle in which

A B = A C

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

SSS Criteria for Congruency

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon