Question

The area of a square is 49 square inches. Find the number of inches in the length of a diagonal. Express your answer in simplest radical form.

Answer 1

Answer:

9.9 inches

Step-by-step explanation:

if the area of ​​the square is 49 we have and know that the base and height are equal we can express it as follows

X is one side of the square.

X * X = 49

X^2 = 49

X = √49

X = 7

by Pythagoras we can calculate the diagonal of the triangle formed by 2 sides of the square with the following expression

Y is the diagonal

7^2 + 7^2 = Y^2

49 + 49 = Y^2

√98 = Y

Y = 9.9