plz find the 31st question's answer
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Step-by-step explanation: Draw a perpendicular to BC from A called AP that intersects DE at q
DE║BC
So, by BPT, DE/BC = AQ/AP = 5/8
DE/BC × AQ/AP = 5/8 × 5/8 = 25/64
DE × AQ/ BC × AP = 25/64
Multiplying numerator and denominator by 1/2,
1/2 × DE × AQ/1/2 × BC × AP = ar(ΔADE)/ar(ΔABC) =25/64
since 1/2 × base × height = Area of triangle
Since ar(ΔADE) = 10cm²
ar(ΔADE)/ar(ΔABC) = 10/ar(ΔABC) = 25/64
ar(ΔABC) = 64/25 × 10 = 25.6cm²
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hope it helps:-).................................
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