[FREE] What is true about triangle LMN? Check all that apply.- LM ⊥ MN- The triangle is scalene- The triangle

[FREE] What is true about triangle LMN? Check all that apply. - LM ⊥ MN - The triangle is scalene - The triangle - brainly.com (2025)

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a,d,e

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Explanation

To determine the properties of triangle LMN, we need to analyze the statements given separately:

LM ⊥ MN: This statement means that line segment LM is perpendicular to line segment MN. If this is true, it indicates that triangle LMN has a right angle, making it a right triangle.
The triangle is scalene: A scalene triangle is one where all three sides are of different lengths. If LM, MN, and LN are all different, then this statement is true.
The triangle is equilateral: An equilateral triangle has all three sides equal in length. If any two sides are not equal, this statement is false.
The triangle is isosceles: An isosceles triangle has at least two sides of equal length. It is possible for triangle LMN to be isosceles if, for example, LM = LN.
The triangle is a right triangle: A right triangle has one angle that is 90 degrees. If the first statement (LM ⊥ MN) is true, then this statement is also true.

To draw a conclusion about triangle LMN based on this information, you would need specific measurements or relationships between the sides and angles of the triangle.

Examples & Evidence

For example, if LM = 3, MN = 4, and LN = 5, triangle LMN is a scalene triangle and also a right triangle because 3^2 + 4^2 = 5^2. If LM = LN = 5 and MN = 4, it would be an isosceles triangle but not scalene or equilateral.

The classifications of triangles such as scalene, isosceles, equilateral, and right triangles are defined in basic geometry. The relationship between right angles and perpendicular lines is fundamental in Euclidean geometry.

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Given that LM is perpendicular to MN, triangle LMN is right triangle. However, without specific measures of each side, it's not possible to tell whether it is a scalene, isosceles, or equilateral triangle.

Explanation

In order to determine the **characteristics **of triangle LMN, we must consider the given information. When LM ⊥ MN, it means that the line LM is perpendicular to the line MN. This creates a right angle within the triangle, thus, making triangle LMN a right triangle.

On the other hand, without knowing the **specific **lengths of each side, it's not possible to discern whether the triangle is a scalene (all three sides of different lengths), isosceles (two sides of equal length), or equilateral (all three sides of equal length).

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[FREE] What is true about triangle LMN? Check all that apply. - LM ⊥ MN - The triangle is scalene - The triangle - brainly.com (2025)

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