Question

Find the length of the unknown side in each of the following right angled triangle

Answer 1

The triangle will be a right angled triangle if :-

${(x)}^{2} = {15}^{2} + {8}^{2} \\ \\ {x}^{2} = 225 + 64 \\ \\ x^{2} = 289 \\ \\ x = \sqrt{289} \\ x = 17$
Hope it helps.

Answer 2

By Pythagoras theorem,

(DF)^2 =( DE)^2 + (EF)^2
=> x^2 =( 8)^2 + (15)^2
=> x^2 = 64 + 225
=> x^2 =289
=> x = root 289

therefore, x = 17 cm

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