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4 November, 19:02

The three inside angles (a, b and c) of a right-angled triangle are in the ratio 7:18:11

the smallest angle is 35 degrees

workout angles a, b and c

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Answers (2)
  1. 4 November, 21:18
    0
    Step-by-step explanation:

    solution

    sum of angles on a triangle=180

    total ratio=7+18+11=36

    for angle a: (7/36) x180=35°

    for angle c: (11/36) x180=55°

    for angle b: (18/36) x180=90°

    therefore: the 3 angles are 35°, 90°, 55°.
  2. 4 November, 22:08
    0
    The three angles of the right-angled triangle are

    a = 35°

    b = 90°

    c = 55°

    Step-by-step explanation:

    We are given the ratio of angles of a right-angled triangle

    a:b:c = 7:18:11

    Recall that the sum of interior angles in a right-angled triangle is always 180°

    7x + 18x + 11x = 180

    36x = 180

    x = 180/36

    x = 5

    a:b:c = 7x:18x:11x

    a:b:c = 7 (5) : 18 (5) : 11 (5)

    a:b:c = 35:90:55

    a = 35°

    b = 90°

    c = 55°

    Alternatively:

    We are given that the smallest angle is 35°

    a = 7x = 35

    x = 35/7

    x = 5

    b = 18x

    b = 18 (5)

    b = 90°

    c = 11x

    c = 11 (5)

    c = 55°
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