Question

Find the length of a diagonal of a rectangle whose adjacent sides are 30 cm and 16 cm.

Answer 1

Step-by-step explanation:

${diagonal}^{2} = {30}^{2} + {16}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = 900 + 256 \\ \: \: \: \: \: \: \: \: \: \: = \sqrt{1156} \\ \: \: \: \: \: \: \: \: \: = 34 \\ \\ \\ \\ the \: length \: of \: diagonal \: is \: 34cm$

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Answer 2

Answer:

Here's your answer.

Step-by-step explanation:

It will be in a right angle triangle form. Hence we can use pythagoras theorem

Hypotenuse^2 = Side 1^2 + Side 2^2

Hypotenuse^2 = 30^2 + 16^2

Hypotenuse^2 = 900 + 256

Hypotenuse^2 = 1156

Hypotenuse = $\sqrt{1156}$

Hypotenuse = 34

Hence the length of the diagonal is 34 cm.

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