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Answer:
In the right angled triangle EDF, ∠D = 90∘. Hence, side EF is the hypotenuse.
According to Pythagoras' theorem,
l(EF)2 = l(ED)2 + l(DF)2
⇒(17)2 = (x)2 + (8)2
⇒289 = x2 + 64
⇒x2 = 289 − 64
⇒x2 = 225
⇒x2 = (15)2
⇒x = 15
∴ the value of x is 15.
Explanation: