Math, asked by samarthsingh2017, 2 months ago

(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​

Answers

Answered by kingsukmalik1
2

Answer:

17 cm is your answer

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Answered by sonkarrekha652
1

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.

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