Question

Urgent solve this please

Answer 1

39.12

Explanation:

One of the properties of a rectangle is that every angle in it is congruent. This means that when a diagonal is drawn (a segment connecting opposite corners), a right triangle is formed. One can apply the Pythagorean theorem, this theorem states the following;

`a^2 + b^2 = c^2`,

Where (a) and (b) are the legs, or segments adjacent (next to) the right angle, and (c) is the hypotenuse (the side opposite the right angle).

The legs of the right triangle formed by the diagonal in a rectangle will be the sides of the rectangle. Using this knowledge, one can state the following,

`a^2 = b^2 = c^2\\\\21^2 + 33^2 = c^2`

Simplify,

`441 + 1089 = c^2\\\\1530 = c^2`

Inverse operations,

`1530 = c^2\\\\39.1152=c`