A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle?
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Answer:
[tex]h =26.4[/tex]
C is correct Option
Step-by-step explanation:
Let,
Base of the triangle = b = 16
Perpendicular of the triangle = p = 21
Hypotenuse of the triangle= h = ?
According to Pythagoras theorem;
[tex]h^{2} = b^{2} +p^{2}[/tex]
[tex]h^{2} = 21^{2} +16^{2}[/tex]
[tex]h^{2} =441+256[/tex]
[tex]h^{2} =697[/tex]
[tex]h =\sqrt{697}[/tex]
[tex]h =26.4[/tex]
Answer: actually the answer is A.31.5
Step-by-step explanation: I literally just guessed and I got the answer correct