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Find the length of the missing side. The triangle is not drawn to scale.
A right triangle with hypotenuse length 17 and leg one length 15.
(2 points)
To find the length of the missing side in a right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
Let's label the missing side as 'x'. According to the given information, one leg has a length of 15 and the hypotenuse has a length of 17.
Using the Pythagorean Theorem, we have:
15^2 + x^2 = 17^2
225 + x^2 = 289
To solve for x, we can subtract 225 from both sides of the equation:
x^2 = 289 - 225
x^2 = 64
To find x, we take the square root of both sides:
x = √64
x = 8
Therefore, the length of the missing side is 8 units.