In a rectangle, opposite sides are equal and it forms two equal right triangles.
\ So we have .
To find:Length x which is hypotenuse c for both the right triangles.
\\
Apply Pythagorean theorem:
(Substitute 3 for a and 7 for b)
(Evaluate powers:
)
(Add:
)
(Take square root to each side)
(Cancel sqaure and root)
The length x of the diagonal of the rectangle is .