Question

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

Answer 1

Answer:

length of the diagonal = 17cm

Step-by-step explanation:

Length of rectangle can be calculated using pythagoras theorem

So (diag.)sq. = (len)sq + (bre)sq.

Hence diag. = square root of ((15*15)+(8*8))

= sq root (289)

=17 (ans)

Answer 2

Answer:

17 cm

Step-by-step explanation:

In rectangle ABCD,

in triangle ABC,

Using Pythagoram theoram,

${(p)}^{2} + {(b)}^{2} = {(h)}^{2}$

=> P = 8cm, B = 15cm, H = ac

${(ab)}^{2} + {(bc)}^{2} = {(ac)}^{2} \\ {(8)}^{2} + {(15)}^{2} = {(ac)}^{2} \\ 64 + 225 = {(ac)}^{2} \\ 289 = {(ac)}^{2} \\ ac = \sqrt{289} \\ ac = 17cm$

therfore, the length of the diagonal is 17cm

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