julannek413
21.12.2020 •
Mathematics
The angles of AABC have the extended ratio of 7:8:15, respectively. Calculate the value for each of the angles A, B, and C. Remember the angles in a triangle sum to 180 degrees!
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Ответ:
Step-by-step explanation:
Remark
A B C have to be multiplied by the same something. No matter what they are multiplied by the sum will be 180 degrees.
Equation
Let the angle ratios be multiplied by x
7x + 8x + 15x = 180
30x = 180
x = 180/30
x = 6
Answer
7*6 = 42
8*6 = 48
15*6 = 90
Total 180 as it should
Ответ:
We can use the tangent to find the value of x.
The general formula of the tangent is:
When we fill in this formula, we get the following:
Hence, the answer is x = 28.07