Question

find the length of the diagonal of a rectangle whose length is 24 cm and width is 7cm.​

Answer 1

Assume the rectangle be ABCD and length be AC & BD and Breadth BA & CD. Let their be AC. As all angles of rectangle measures 90 degree. So if the diagonal is drawn in recangle so it forms 2 right angled triangle and now we use PYTHAGORAS THEOREM.

Let triangle ABC be a right angled triangle. Now the lenght be x and breadth be y and diagonal (hypotenuse)be z.

According to Pythagoras theorem.

(x)square+(y)square=(z)square

Let x=24

y=7

(24×24)+(7×7)(z)square

576+49=62

Now square root of 625 is 25. So the diagonal is 25 cm

Answer 2

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