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(A) In a rectangle,each angle is a right angle $(90^{\circ})$. Let the sides of the rectangle be $a = 12$ and $b = 35$. The diagonal $d$ of the rectan

Vedclass · Accepted Answer

$37$

Vedclass · Answer

(A) In a rectangle,each angle is a right angle $(90^{\circ})$. Let the sides of the rectangle be $a = 12$ and $b = 35$. The diagonal $d$ of the rectangle forms a right-angled triangle with the two adjacent sides. According to the Pythagorean theorem,$d^2 = a^2 + b^2$. Substituting the given values: $d^2 = 12^2 + 35^2$. $d^2 = 144 + 1225$. $d^2 = 1369$. Taking the square root of both sides: $d = \sqrt{1369} = 37$. Therefore,the length of the diagonal is $37$.

Two adjacent sides of a rectangle measure $12$ and $35$. Then,the length of a diagonal of the rectangle is..........

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