What is the length of a diagonal of a square if its area is 98 square feet?
2 Answers
Length of the diagonal is
Explanation:
Given:
A square
What do we need to find?
We need to find the length of the diagonal.
Properties of a Square:

All the magnitudes of sides of a square are congruent.

All the four internal angles are congruent, angle =
#90^@# 
When we draw a diagonal, as is shown below, we will have a right triangle, with the diagonal being the hypotenuse.
Observe that
We are given the area of the square.
We can find the side of the square, using the area formula.
Area of a square:
Since all the sides have equal magnitudes, we can consider any one side for the calculation.
Since all the sides are equal,
Hence, we observe that
Consider the right triangle
Pythagoras Theorem:
Using the calculator,
Hence,
the length of the diagonal (BC) is approximately equal to
Hope it helps.
14
Explanation:
The side is the square root of the area
S =
The diagonal is the hypotheus of a right triangle formed by the two sides so
Where C = the diagonal A =
so
this gives
The diagonal is 14