Two sides and an angle are given. determine whether the given information results in one triangle, no triangle, three triangles,
two riangles c=35 a=18.7 c=16.1
1 answer:
We are given 2 sides 18.7, 16.1 and a NON-included angle.
We have to calculate the altitude of the triangle.
altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude = <span> <span> <span> 10.725946 </span> </span> </span>
In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.
Source:
http://www.1728.org/trigssa.htm
We have to calculate the altitude of the triangle.
altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude = <span> <span> <span> 10.725946 </span> </span> </span>
In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.
Source:
http://www.1728.org/trigssa.htm
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Answer:
see details and attached figure below.
Step-by-step explanation:
Going row by row
1. 12 (isosceles triangles have equal legs from the vertex)
2. 55 deg. (isosceles triangles have equal base angles)
3. 90 = 180-45-45 (isosceles triangles have equal base angles)
4. 2x-8 = 10
=> x = 18/2 = 9 (isosceles triangles have equal legs from the vertex)
5. sum of angles of triangle = 180
3x+3x+2x+4 = 180 => 8x = 176, x = 22, angle A = 3x = 66 deg.
6. sum of angles of triangle = 180
(isosceles triangles have equal base angles)
25+25+angle Z = 180 => angle Z = 180-25-25 = 130
