Question

triangle ABC is congruent to triangle ACB then triangle ABC is isosceles with​

Answer 1

Answer:

(1) ΔABC is an isosceles triangle

AB=AC

(2) BC=CE

Is BE=CD?

Solution: Since AB=AC

∴∠ABC=∠ACB [Since angles opposite to equal sides of a triangle are equal]

∴180−∠ABC=180−∠ACB

∠DBC=∠ECB ………..(1)

[ since ABD and ACE are straight lines]

In triangles DBC and ECB

∠DBC=∠ECB (from (1))

BD=CE (given)

BC=BC (common side)

∴ΔDBC∼ΔECB [from SAS criteria side angle side]

So since triangles are congruent

∴DC=EB

So BE=CD is true.

solution

Answer 2

Answer:

Step-by-step explanation:

Properties of an Isosceles Triangle

... equal. We want to prove the following properties of isosceles triangles. Theorem: Let ABC be an isosceles triangle with AB = AC. ... b) Angle ABC = Angle ACB (base angles are equal).

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