plz do the tick one
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area of square=1/2(product of diagonals)
since it is a kind of rhombus
ar(sq)=1/2*(72*72)
=5184/2
=2592cm^2
since it is a kind of rhombus
ar(sq)=1/2*(72*72)
=5184/2
=2592cm^2
angel8976:
what is a meaning of * this
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Let the sides i.e. AB,BC,CD and AD be x.
So,
In triangle (ABC) — (AB)^2 + (BC)^2 = (AC)^2 (Pythagoras theorem)
x^2 + x^2 = 72^2
2x^2 = 72 × 72
x^2 = 5184 ÷ 2
x^2 = 2592cm^2
x = √(2592)cm
Side of the square i.e. AB = BC = CD = AD = √(2592)cm.
Area of the square = (Side)^2
=√(2592)^2
=2592 cm^2
So,
In triangle (ABC) — (AB)^2 + (BC)^2 = (AC)^2 (Pythagoras theorem)
x^2 + x^2 = 72^2
2x^2 = 72 × 72
x^2 = 5184 ÷ 2
x^2 = 2592cm^2
x = √(2592)cm
Side of the square i.e. AB = BC = CD = AD = √(2592)cm.
Area of the square = (Side)^2
=√(2592)^2
=2592 cm^2
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