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Answer:
The answer is below
Step-by-step explanation:
In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.
Solution:
A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.
In triangle DEF:
∠D + ∠E + ∠F = 180° (sum of angles in a triangle)
30 + ∠E + 60 = 180
∠E + 90 = 180
∠E = 180 - 90
∠E = 90°
This is a right angled triangle since one angle = 90° (∠E).
Using sine rule:
Hence DE + DF = 12 + 10.39 = 22.39