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ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD. - Mathematics

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ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD.

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Solution

Let us join AD.

In ΔABD and ΔACD,

AB = AC (Given)

BD = CD (Given)

AD = AD (Common side)

∴ ΔABD `~=`ΔACD (By SSS congruence rule)

⇒ ∠ABD = ∠ACD (By CPCT)

Concept: Properties of a Triangle
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APPEARS IN

NCERT Class 9 Maths
Chapter 7 Triangles
Exercise 7.2 | Q 5 | Page 124

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