Question

Find the length of the diagonal of a rectangle whose sides are 15 cm and 8 cm.

Answer 1

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Answer 2

Answer:

17 cm

Step-by-step explanation:

We know that a diagonal of a rectangle is equal to the square root of the sum of the squares of its length and its breadth.

So if we denote the required diagonal by ' d ' and its length and breadth by ' l ' and ' b ' respectively,

$\bold{d=\sqrt{l^2+b^2} }$

We are given that,

Length of the rectangle, l = 15 cm

Breadth of the rectangle, b = 8 cm

Substituting the values in the equation as discussed earlier,

$d=\sqrt{l^{2}+b^{2} }\\\\d=\sqrt{15^{2}+8^{2} }\\\\d=\sqrt{225+64} \\\\d=\sqrt{289} \\\\\bold{d=17~cm}$

Hence,

Length of the diagonal = 17 cm