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ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD. - CBSE Class 9 - Mathematics

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Question

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

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)

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 7: Triangles
Ex. 7.20 | Q: 5 | Page no. 124

Video TutorialsVIEW ALL [1]

Solution ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD. Concept: Properties of a Triangle.
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