Area of square ABCD is 16 cm^2, then find the area of square formed by joining the middle points of the sides of the square
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ar.of square ABCD.= 16cm²
: AB=4cm.
let the square form by midpoint be PQRS.
In∆APQ., AP=2cm,<A=90°
PQ²=AP²+AQ².
PQ²=(2)²+(2)²
PQ²=8
PQ=√8cm
ar.of square PQRS.
√8×√8=8cm².
: AB=4cm.
let the square form by midpoint be PQRS.
In∆APQ., AP=2cm,<A=90°
PQ²=AP²+AQ².
PQ²=(2)²+(2)²
PQ²=8
PQ=√8cm
ar.of square PQRS.
√8×√8=8cm².
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