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true or false,the diagonal of a rectangle is longer than any of its sides. I want the answer with explanation If u don't I will report​

Sagot :

KimYurii

Answer:

True

Step-by-step explanation:

Yes! The diagonal of a rectangle is longer than any of its sides.

Consider PQRS as a rectangle. It is known to us that each interior angle of a rectangle measures 90°. Now, after making the diagonal of the rectangle PQRS, the rectangle has been split into 2 right-angled triangles i.e, ∆PRS and ∆RPQ. In the right angled triangle, hypotenuse is always the longest side. Here, in ∆PRS and ∆RPQ, the bases are RS and QP ; perpendiculars are PS and QR and both triangles' hypotenuse is PR. As, hypotenuse is always the longest side, so PR will be longer than RS,QP,PS and QR. Clearly, the diagonal of a rectangle is longer than any of its sides.

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