Question

17. In a square PQRS, PQ = (5a - 17)cm. and
QR = (2a + 4). Find the length of PS and PR.​

Answer 1

Answer:

Step-by-step explanation:

5a-17=2a+4  (SIDES OF A SQUARE ARE EQUAL)

3a=21

a=7

LENGTH OF PS=2a+4

                         =2x7+4

                         =14+4

LENGTH OF PS=18

LENGTH OF PR,

BY HYPOTENUSE THEOREM,

PQsquare+QRsquare=PRsquare

18square+18square=PRsquare

324+324=PRsquare

648=PRsquare

18 ROOT 2=PR

PR=18 ROOT 2

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