If XZ = 46 and WR = 21, find WX.

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that , where and are two legs of the triangle and is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, .

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem-

XR=23 by taking half of 46

sqrt both sides to get your answer of 31.14