where angle NML is a…

Maths Questions
Short Answer
Step by Step Solution
Mathematics Questions

In triangle LNM, where angle NML is a right angle, which statements are true? Check all that apply: • The side opposite ∠L is NM. • The side opposite ∠N is ML. • The hypotenuse is NM. • The hypotenuse is LN. • The side adjacent to ∠L is NM. • The side adjacent to ∠N is ML.

Short Answer

To identify the sides of a triangle relative to its angles, label the angles as ∠L, ∠M, and ∠N, and identify the sides opposite each angle. Specifically, NM is opposite ∠L, ML is opposite ∠N, and LN is the hypotenuse opposite the right angle ∠M.

Step-by-Step Solution

Step 1: Identify the Triangle and Its Angles

Begin by visualizing the triangle in question. Label the angles ∠L, ∠M, and ∠N appropriately. For clearer understanding, you may want to draw a sketch, even a rudimentary one, helps in distinguishing between the angles and sides.

Step 2: Determine the Sides Relative to the Angles

Next, identify which sides are opposite to each angle. Knowing that the side opposite an angle does not include the letter used for that angle can guide you. In this case:

  • The side opposite ‚à†L is NM.
  • The side opposite ‚à†N is ML.
  • The hypotenuse, which is the longest side, opposite the right angle ‚à†M, is LN.

Step 3: Confirm the Naming of the Sides

Lastly, make sure to confirm the names of the sides as they relate to the angles in a right triangle. In summary, remember:

  • NM is opposite to ‚à†L.
  • ML is opposite to ‚à†N.
  • LN is the hypotenuse opposite the right angle ‚à†M.

Related Concepts

Triangle

A polygon with three edges and three vertices, where the sum of the interior angles is always 180 degrees.

Angles

The figures formed by two rays, or lines, that share a common endpoint, measured in degrees, which define the shape and orientation of the triangle.

Sides

The straight line segments that form the boundaries of a triangle, where each side is opposite to one of the angles, and the longest side is referred to as the hypotenuse in right triangles.

Table Of Contents
  1. In triangle LNM, where angle NML is a right angle, which statements are true? Check all that apply: • The side opposite ∠L is NM. • The side opposite ∠N is ML. • The hypotenuse is NM. • The hypotenuse is LN. • The side adjacent to ∠L is NM. • The side adjacent to ∠N is ML.

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