Question

Vance wants to determine if an old photo frame is still rectangular. The height of the frame is

8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still
rectangular? How do you know?

Answer 1

The old photo frame is still rectangular

Explanation:

Rectangles

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

`d^2=a^2+b^2`

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

`10^2=6^2+8^2`

`100=36+64`

`100=100`

Since the condition is met, the old photo frame is still rectangular