Question

Solve this Question ❓

Answer 1

Answer:

Given BD=DE=EC

To prove .ar(ABD)=ar(ADE)=ar(AEC)

Step-by-step explanation:

PROOF:-

CONSTRUCTION-: DRAW AN ALTITUDE ON BC FROM A AND NAME IT AF

NOW,

ar(ABD)=1/2× AF × BD........1

ar(ADE)=1/2×AF×DE......2

ar(AEC)=1/2×AF×EC.......3

NOW

BD = DE =EC

SO IN ABOVE EQUATION WE CAN PUT DE = BD AND EC=BD

SO ar (ABD)=1/2×AF×BD

ar(ADE)=1/2×AF×BD

ar(AEC)=1/2×AF×BD

HENCE ar(ABD)=ar(ADE)=ar(AEC)

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