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With the information given in the diagram, which statement is true?

With the information given in the diagram, which statement is true?

PL = 21 units
The perimeter of ΔEHN is 40 units.
m∠P = 61°
m∠H = 82°




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1 Answer

  1. To determine which statement is true based on the given information, we can use the known perimeter of triangle ΔEHN (40 units) and the lengths provided.

    First, let’s note the angles. We have m∠P = 61° and m∠H = 82°. The angles in a triangle sum up to 180°, so we can find m∠E in ΔEHN:

    m∠E = 180° – m∠H – m∠N.

    However, we lack the necessary dimensions of the sides of triangle ΔEHN to make a definite evaluation of other statements without further context.

    Given the provided perimeter (40 units) and one angle, we could potentially determine side lengths applicable to the situation, but we cannot reach a firm conclusion about the triangle’s properties or the validity of any specific statement without knowing the lengths or relationships of side E, H, or N.

    If there’s a specific statement provided in your material, please share it, and I can help you assess its truth based on the calculations we can make. For further support or complex inquiries, please feel free to check the extended services page for more assistance!

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