Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

How do I prove this shape has 2 right angles?

Attachment image

2 Answers

Relevance
  • Favourite answer

    LM has a slope of 3/2

    KL has a slope of -2/3

    MN has a slope of -2/3

    m(LM) * m(KL)

    (3/2) * (-2/3) = -1.

    m(LM) * m(MN)

    (3/2) * (-2/3) = -1

    If the products of the slopes of 2 lines is -1, then the lines are perpendicular.

  • 1 month ago

    for angle M, get lengths of MN, ML, NL and see if Pyth. theorem applies

    MN² = 3² + 2² = 13

    LM² = 3² + 2² = 13

    NL² = 5² + 1² = 26

    YES, 13+13=26

    same for L

    LM² = 3² + 2² = 13

    LK² = 6² + 4² = 52

    KM² = 4² + 7² = 65

    YES

    distance between two pointsd = √(Δx² + Δy² )

    or

    d² = Δx² + Δy²

    Attachment image
Still have questions? Get answers by asking now.