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

Question

3 years ago

12

radical form.

1 answer:

natta225 [31] · Answer 1 · 2022-06-14T08:16:51+03:00

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