Share

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

ConceptProperties of a Triangle

#### Question

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

#### Solution

In ΔABD and ΔACD,

AB = AC (Given)

BD = CD (Given)

∴ 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.
S