The ratio of the measures of the 3 angles of a triangle is 1:2:3. What is the measure of the largest

Discussion in 'Calculator Requests' started by math_celebrity, Dec 10, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The ratio of the measures of the 3 angles of a triangle is 1:2:3. What is the measure of the largest angle in degrees?

    Let the smallest angle be x.
    Then we have 3 angles based on the ratio: x, 2x, 3x

    We know the sum of the angles of a triangle equals 180. So we have:
    x + 2x + 3x = 180
    6x = 180

    Divide each side by 6:
    6x/6 = 180/6
    x = 30

    The largest angle is 3(30) = 90

     

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