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geometry

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WHAT IS THE BASE LENGTH OF AN ISOSCELES TRIANGLE IF YOU KNOW THE EQUAL SIDES HAVE A VALUE OF 5 AND THE ANGLE BETWEEN THEM IS 45 DEGREES AND THE BASE ANGLES ARE 67.5 DEGREES?

  • geometry -

    Why are you shouting?

    You could use the Sine Law

    let the missing side by x

    x/sin45 = 5/sin67.5
    x = 5sin45/sin67.5 = 3.827

    you could also use the Cosine Law:
    x^2 = 5^2 + 5^2 - 2(5)(5)cos45
    = 50 - 35.35534
    = 14.6447
    x = √14.6447 = 3.827

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