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?

lwfrgin

lwfrgin

Answered question

2021-05-18

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?

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-05-19Added 108 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=E"2+F22EFcosθ

D2=42+722(4)(7)cos50

D2=6556cos50

D=6556cos50

D5.4cm

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