Ask Question
11 March, 23:13

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

+3
Answers (2)
  1. 11 March, 23:26
    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. 12 March, 02:51
    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°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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, ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers