Math, asked by smm20, 1 year ago

D is a point on side BC of triangle ABC such that AD = AC (S
Show that AB > AD.​

Answers

Answered by Anonymous
1

Answer:

In ∆ABC D is a point on BC such that

AD=AC

Now in ∆ADC, AD=AC

Hence ∠ADC = ∠ACD

Again ∠ADB(ext. angle)=∠DAC+∠ACD(int. opp. angles)

Therefore ∠ADB > ∠ACD…(1)

In ∆ABD ∠ADC(ext.angle)= ∠ABD+∠BAD(int. opp angles)

⇒∠ADC >∠ABD

Or, ∠ACD>∠ABD….(2) (since ∠ADC=∠ACD)

From (1) and (2) We have ∠ADB>∠ABD

Now in ∆ABD, ∠ADB>∠ABD

Hene AB>AD(since greater angle has greater side opposite to it)

Attachments:
Answered by Anonymous
0

Answer:

Step-by-step explanation:Answer:87.5%

Step-by-step explanation:

increase in size =3.5

percentage of increment=

(3.5÷4)×100=0.875×100=87.5

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