Find the side and perimeter of a square whose diagonal is 10
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Answer:
side is 5 √2 cm
perimeter is 20 √2cm
Step-by-step explanation:
In a square of side say a cm, any diagonal divide the square into two right triangles of equal dimensions.
Thus a² + a² = 102
⇒ 2a² = 100
⇒ a² = 50
a = 5 √2 cm
perimeter = 4a
= 4×5 √2
= 20 √2
Perimeter of square = 20 √2cm
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