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From the given figure, we know that ∆AQD is a right angled triangle where Q is the right angle.
So , by pythagoras theorem , we can find side AD .
Hypo² = base² + height²
AD² = QD² + QA²
AD² = 4² + 3²
AD = √16 + 9
AD = √25
AD = 5 cm
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Side of the square = AD = 5cm
hence , area of square = side²
= 25 cm²
answer : 25cm²
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Answer:
triangle AQD is a right angled triangle
by pythagores theorm,
(AD)²=( AQ)²+(QD)²
= (3)²+(4)²
=9+16
=25
therefore AD=√25=5cm
side of a square now as AD is side of square also which is the hypotenous of triangle so
area of Square=side×side
=5×5
=25cm²
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