Answer:
They are 8 and 15, because 8^2 + 15^2 = 17^2
(64 + 225 = 289)
The lengths of the two legs are are 8 and 15.
Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.
The hypotenuse = 17
Let, perpendicular = 8 and base = 15
According to Pythagoras theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
perpendicular²+base²=hypotenuse²
8² + 15² = 17²
64 + 225 = 289
289 = 289
Hence, The lengths of the two legs are 8 and 15
Learn more about right triangle
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