Question

what value of ? makes the parallelogram a rectangle? 5 3 ? ? = submit question

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, the diagonal forms a right triangle with two adjacent sides. So we can use the Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(c\) is the diagonal, and \(a\), \(b\) are the sides.
Here, diagonal \(c = 5\), one side \(b = 3\), and the other side is \(?\) (let's call it \(a\)).

Step2: Apply Pythagorean theorem

Substitute into the formula: \(a^2 + 3^2 = 5^2\)
Simplify: \(a^2 + 9 = 25\)
Subtract 9 from both sides: \(a^2 = 25 - 9 = 16\)
Take square root: \(a = \sqrt{16} = 4\)

Answer:

4