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given a special right triangle with angle measuring 45-45-90, what is the length of the side opposite to 45, if the side opposite 90 is 14. you can write your answer in decimal form

Respuesta :

Lets draw a picture:

since we have a right triangle, we can apply a trigonometric function. If we choose cosine function, we have

[tex]\cos 45=\frac{a}{14}[/tex]

then a is given by

[tex]a=14\cos 45[/tex]

since cos45=0.7071, we get

[tex]a=14(0.7071)[/tex]

then, the answer is a = 9.899

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