Question

In ΔPQR, ∠PQR=90°, PQ=QR=10 cm, hence the length of PR is ..

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Answer 1

Answer:

PR=10$\sqrt{2}$cm

Step-by-step explanation:

according to the pythagorean theorem,

in a right-angled triangle ; base^2+height^2=hypoteneus^2

therefore;

PQ^2+QR^2=PR^2

10^2+10^2=PR^2

100+100=PR^2

PR^2=200

200     2

100       2

50          2

25           5

5              5

1

square root of 200=2 x 5 x $\sqrt{2}$

PR=10$\sqrt{2}$cm