Find the side and perimeter of a square whose diagonal is10cm
Answers
Answered by
12
Find the length of the side:
Let the side be x
a² + b² = c²
x² + x² = 10²
2x² = 100
x² = 50
x = √50
x = 5√2
The length of the side is 5√2 cm
---------------------------------------------------------------------------------
Find the perimeter:
Perimeter = 4x Length
Perimeter = 4 x 5√2
Perimeter = 20√2 cm
The perimeter is 20√2
---------------------------------------------------------------------------------
Answer: The length of the side is 5√2 and the perimeter is 20√2.
Similar questions