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ABC is isosceles triangle with BA=BC
D lies on Ac
ABD is an isosceles triangle with AB=AD
Angle ABD=72
Show that triangle BCD is isosceles.
You must give a reason for each for each stage of your working

ABC is isosceles triangle with BABC D lies on Ac ABD is an isosceles triangle with ABAD Angle ABD72 Show that triangle BCD is isosceles You must give a reason f class=

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Akolism256

Answer:

I don't think triangle BCD is isosceles. I did my calculations well this time. Lol

Ver imagen Akolism256
Ver imagen Akolism256

The triangle BCD is an isosceles triangle because the base angle is equal to each other(∠DBC ≅ ∠C) and BD = DC

What is an Isosceles ?

An Isosceles triangle is a triangle that has two of its sides equal to each other. It also has the base angles equal toe each other.

Therefore,

since AB = AD

∠ABD ≅ ∠ADB

Hence,

∠A = 180 - ∠ABD + ∠ADB

∠A = 180 - 72 - 72

∠A = 36°

Hence,

since BA = BC

∠C = 36°(base angles of isosceles triangle)

∠ABC = 180  - 36 + 36  = 108°

∠DBC = 108 - 72 = 36°

Therefore,

∠DBC ≅ ∠C

Hence,

BD = DC

ΔBCD is isosceles

learn more on isosceles triangle here: https://brainly.com/question/14312365

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