Question

(c) If the dimensions of a rectangle are 15 cm and 8 cm, then the length of its diagonal is (i) 7 cm (ii) 23 cm (w/ 17 cm (iv) 20 cm​

Answer 1

Answer:

17 cm is your answer

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Answer 2

Step-by-step explanation:

The length, width and diagonal of the rectangle form a right-angled triangle.

Here, diagonal forms the hypotenuse, so Pythagoras Theorem is valid to compute the length of the diagonal.

${d}^{2} = {15}^{2} + {8}^{2} \\ ∴</p><p> {d}^{2} = 225 \: + 64 \\ ∴</p><p>d \: = \sqrt{225 + 64} \\ ∴</p><p>d \: = \: 17$

Note: We do not consider the negative square root value since the diagonal is a length so cannot be negative.