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Answer :
Final Answer:
The nature of angle KLM cannot be determined without additional information about the relationship between sides KL and KM. Therefore, the correct answer is D) Not enough information to determine, as the given information about the rectangle NOP does not provide insight into angle KLM.
Explanation:
In order to determine the nature of angle KLM, we need additional information about the relationship between the sides KL and KM. The given information about the rectangle NOP does not provide any insight into the angles of triangle KLM.
Without knowing the lengths of KL or LM, we cannot determine whether angle KLM is acute, obtuse, or right. The information provided only concerns side lengths and perpendicularity within the triangle, which is insufficient for angle determination. Thus, without further details, we cannot definitively conclude the nature of angle KLM.
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Final answer:
Without additional information on the lengths of KL or LM, or an angle measurement, we cannot determine whether angle KLM is acute, obtuse, or right. The correct option is B.
Explanation:
In considering triangle KLM with KM=48 and LD=16, where LD is perpendicular to KM, we can infer a few properties about angle KLM based on the given information. Since LD is perpendicular to KM, we know that LD creates a right angle with KM. However, without additional information about the lengths of the other sides of the triangle or other angles, we cannot definitively conclude the nature of angle KLM.
We need to know the length of KL or LM, or an angle measurement to apply trigonometric rules or the Pythagorean theorem. Therefore, the most accurate answer is D) Not enough information to determine. The information provided about rectangle NOP, wherein NO:OP=5:9, is irrelevant to determining the nature of angle KLM.