Math, asked by arshak2315, 8 hours ago

please solve this problem ​

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Answered by mamtatiwari201971
3

Answer:

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Answered by amansharma264
4

EXPLANATION.

In the given figure.

⇒ AB = AC  and  BD = DC.

As we know that,

In triangle ABC.

⇒ AD = AD [Common].

⇒ AB = AC [Given].

⇒ BD = DC [Given].

By using SSS criteria.

⇒ SSS = Side- Side- Side Criteria.

ΔABD ≅ ΔACD.

As we know that,

⇒ ∠ADB = ADC. [Congruent Sides].

⇒ ∠ADB + ∠ADC = 180°.

⇒ ∠ADB + ∠ADB = 180°.

⇒ 2∠ADB = 180°.

⇒ ∠ADB = 90°.

⇒ ∠ADB + ∠ADC = 180°.

⇒ ∠ADC + ∠ADC = 180°.

⇒ 2∠ADC = 180°.

⇒ ∠ADC = 90°.

As we can see that,

∠ADB = ∠ADC = 90°.

Hence Proved.

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