Question

Three picture frames were measured in inches and the results are shown below, without rounding. Determine which picture frame has a flawed construction because it does NOT have perpendicular side lengths based on the given measures.
A

B

C
HELP PLEASE NOWWWWW

Answer 1

Answer:

In the case of the second frame, the sides are not perpendicular to each other.

Step-by-step explanation:

A. The length (l) of the frame is 20 and width (w) is 15.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as$d^{2} = l^{2} + w^{2} = 20^{2} + 15^{2} = 625 = 25^{2}$

⇒ d = 25 (Also given)

So, the frame is rectangular one.

B. The length (l) of the frame is 22 and width (w) is 10.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as$d^{2} = l^{2} + w^{2} = 22^{2} + 10^{2} = 584$

⇒ d = 24.166 ≠ 24 (24 is the given value)

So, the frame is not a rectangular one.

C. The length (l) of the frame is 21 and width (w) is 20.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem as$d^{2} = l^{2} + w^{2} = 21^{2} + 20^{2} = 841 = 29^{2}$

⇒ d = 29 (Also given)

So, the frame is rectangular one.

Therefore, in the case of the second frame, the sides are not perpendicular to each other. (Answer)