The following shows that the figure is impossible: 21² ≠ 15² + 17² - 2(15)(17)cos(58), 15² ≠ 21² + 17² - 2(21)(17)cos(42) and 17/sin(70) ≠ 21/sin(58)
What is a triangle?
A triangle is a polygon with three sides and three angles. Cosine and Sine rule is used to show the relationship between the sides and angles of a triangle.
Cosine rule:
a² = b² + c² - 2bc * cosA
Sine rule:
a/sin(A) = b/sin(B) = c/sin(C)
Where a, b, c are sides and A, B, C are opposite angles.
From the triangle:
Using cosine rule:
21² ≠ 15² + 17² - 2(15)(17)cos(58)
Also:
15² ≠ 21² + 17² - 2(21)(17)cos(42)
Using sine rule:
17/sin(70) ≠ 21/sin(58)
The following shows that the figure is impossible: 21² ≠ 15² + 17² - 2(15)(17)cos(58), 15² ≠ 21² + 17² - 2(21)(17)cos(42) and 17/sin(70) ≠ 21/sin(58)
Find out more on triangle at: https://brainly.com/question/17335144
