Question

please answer quick with explanation ​

Answer 1

Answer:

1. AB = AC BD = CD AD = AD

2. Yes according to SAS congruence

3. Yes, angles in the congruent triangles

4. Yes, sides of the congruent triangles

Answer 2

Given :-

• AB = AC
• AD is altitude of triangle

To Find :-

1. State the three pairs of equal parts in triangle ADB and triangle ADC.
2. Is triangle ADB congruent to triangle ADC ? Why or why not ?
3. Is <B = <C ? Why or why not ?
4. Is BD = CD ? why or why not ?

Explanation :-

[1]

• We have AB = AC
• hence, :⟹ < B = < C
• As AD is altitude
• so,
• < ADB = < ADC = 90°
• :⟹ three pairs of equal parts in triangle ∆ ADB and triangle ∆ ADC are
• AB = AC
• so, < B = < C
• < ADB = < ADC
• As two pairs of angles in ∆ ADB and ∆ ADC are equal,

hence,

• :⟹ Third pair will also be equal

hence, < DAB = < DAC

[2]

• So, by RHS Rule of congruency, we conclude
• $\bigtriangleup ᴀᴅʙ \cong \bigtriangleup ᴀᴅᴄ$

[3]

• Since both triangles are congruent all the corresponding parts will be equal
• So,
• < B = < C

[4]

• Since both triangles are congruent all the corresponding parts will be equal.
• So,
• BD= CD.

I hope it helps you.

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