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Answer :
Final answer:
To find the length of the altitude to the hypotenuse of triangle KLM, use the Pythagorean theorem.
Explanation:
To find the length of the altitude to the hypotenuse of triangle KLM, we can use the fact that the altitude is a perpendicular line from one vertex to the hypotenuse. Let's label the altitude as h. Since the triangle is a right triangle, we can use the Pythagorean theorem to find h. The Pythagorean theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse. So, we have:
k² + h² = m²
Substituting the given values, we have:
16² + h² = 32²
Solving for h, we get:
h² = 32² - 16²
h² = 1024 - 256
h² = 768
h = √768
h = 27.71
Therefore, the length of the altitude to the hypotenuse of triangle KLM is 27.71.
Learn more about Pythagorean theorem here:
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