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[tex]d^{2} = l^{2} + w^{2} = 20^{2} + 15^{2} = 625 = 25^{2}[/tex]
⇒ 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[tex]d^{2} = l^{2} + w^{2} = 22^{2} + 10^{2} = 584[/tex]
⇒ 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[tex]d^{2} = l^{2} + w^{2} = 21^{2} + 20^{2} = 841 = 29^{2}[/tex]
⇒ 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)
