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.
1 answer:
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
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