In the following figure BCDE is a square .
(a) Find the length of one side of the square
(b) Find the area of the square
(c)What is the perimeter of the square
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Answer:
(a)5√2cm
(b)50cm²
(c)20√2cm
Step-by-step explanation:
(a) In ∆ABE:–
. BE/AE=sin45°
. BE/10=1/√2
. BE/10=1/√2×√2/√2
. BE=√2/2×10
. BE=5√2cm
. BE=Side of square BCDE=5√2cm
(b) Area of square BCDE=(side of square BCDE)²
. =(5√2)²
. =50cm²
(c) Perimeter of square BCDE=4×(Side of square BCDE)
. =4×(5√2)
. =20√2cm
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