Answer :
The lengths of the other two sides in a right triangle with a hypotenuse of 170, and where the other two sides are in the ratio of 8:15, would be 80 and 150.
In a right triangle, the hypotenuse (the side opposite the right angle) is the longest side and it can be found using the Pythagorean theorem.
The Pythagorean theorem states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. If in a right triangle the lengths of the two shorter sides have a ratio of 8:15, these lengths must be the multiples of 8 and 15.
Now, if you substitute these dimensions in the Pythagorean theorem formula 'a'^2 + 'b'^2 = 'c'^2, the end result shows that they fit the hypotenuse length of 170.
the lengths of the arms of that right triangle are 80 and 150. So, the correct answer would be c) 80, 150.
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