Find the largest angle of a triangle if its angles are proportional to the numbers 5, 6 and 7.
| February 4, 2021 | education
Let the value of the smallest of the angles be 5 * X0, then the other two angles will be equal to 6 * X0 and 7 * X0.
Since the sum of the inner angles of the triangle is 180, then 5 * X + 6 * X + 7 * X = 180.
18 * X = 180.
X = 180/18 = 10.
Then the largest angle will be: 7 * 10 = 70.
Answer: The largest angle is 70.
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