In triangle DEF, side E is 4 cm long and

Yasmin 2021-08-14 Answered
In triangle DEF, side E is 4 cm long and side F is 7 cm long. If the angle between sides E and F is 50 degrees, how long is side D?
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Expert Answer

Brighton
Answered 2021-08-15 Author has 103 answers

This is a SAS triangle (two sides and an included angle) so we can use the Law of Cosines to find the length of side D:
D2=E2+F22EFcosθ

D2=42+722(4)(7)cos50°

D2=6556cos50°

D=(6556cos50°)

D5.4cm

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