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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?

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 class=

Respuesta :

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]

 

 

qv33nsofia14

Answer: actually the answer is A.31.5

Step-by-step explanation: I literally just guessed and I got the answer correct

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