AB= 65, BC= 90, AC= 5 which type of triangle is this

Question

AB= 65, BC= 90, AC= 5 which type of triangle is this

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Mackenzie 2 months 2021-08-12T05:16:45+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-12T05:17:53+00:00

    Answer:

    It can’t form a triangle.

    Step-by-step explanation:

    According to the triangle inequality,

    the sum of any two sides of a triangle should always be greater than the thrid side.

    But, here, if we use the inequality,

    AB + AC > BC

    => 65 + 5 > 90

    => 70>90

    but 70 < 90.

    Hence, the assumption contradicts the inequality.

    So, we can conclude that these three sides cannot form a triangle.

    0
    2021-08-12T05:18:21+00:00

    Answer:

    PR+QR = 25 (given) and PR=25-QR

    52 + QR2= PR2 (pythagorean theorem)

    Then substitute PR to get this equation =  52 + QR2 = (25-QR)2

    Solve for QR

    52 + QR2 = 625 – 50QR +QR2                  ………(QR2 cancels out)

    52 = 625 – 50 QR

    -600 = -50 QR

    QR= 12

    Solve for PR using original equation.

    PR= 13

    Now draw the triangle on your paper for help solving the next step…

    Sin = opposite/ hypootenuse  Sin(P)= 12/13

    Cos= Adjacent/ hypotenuse Cos(P) = 5/13

    Tan= opposite/ adjacent  Tan(P) = 12/5

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