A square has a diagonal of length 10 root 2 centimeters. What is the number of square centimeters in the area of the square?
The diagonal of a square has a length of 10 cm. find the length of a side of the square. a. two times begin square root two end square root cm b. 4 cm c. five times begin square root two end square root cm d. 8 cm
mic drop best anwser
The side of the square = diagonal / √2 = [10√2] / √2 = 10 cm
So....the area = side^2 = (10cm)^2 = 100 cm^2
Diagonal length= 2*side length 10sqrt2=sqrt200=2sqrt50
each side=sqrt50
sqrt50*sqrt50=50