The length of the long leg of the triangle is 144 units
<h3>Pythagoras theorem</h3>
Pythagoras theorem is used to solve the sides of a right angle triangle and can be represented as follows;
where
c = hypotenuse
a and b are the other legs.
Therefore,
145² - 17² = b²
b² = 21025 - 289
b² = 20736
b = √20736
b = 144
Therefore, the length of the longer leg of the triangle is 144 units
learn more on Pythagoras theorem here: brainly.com/question/8511675
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