Question

Samantha is constructing a door frame with base 30 inches, height 84 inches, and diagonal 91 inches. A sketch of the door frame is shown.

Answer 1

The door is not in rectangle shape.

Explanation:

Given:

Length of base = 30 inches

Height of door = 84 inches

Diagonal of door = 91 inches

Find:

The door is rectangle or not

Computation:

Using Pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

So,

91² = 84² + 30²

8,281 = 7,056 + 900

8,281 ≠ 7,956

So we say that the given door angle is not 90°

So,

The door is not in rectangle shape.