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Finding the missing sides of the triangle. Leave your answers as simplified radicals

Finding The Missing Sides Of The Triangle Leave Your Answers As Simplified Radicals class=

Sagot :

Explanation

Given the triangle

Since two of the angles are 45 and 45, this makes the third angle as 90 degrees, implying the triangle is a right-angle triangle.

We can then find the value of the missing sides below.

Using the angle 45 degrees on the left of the triangle, we will have that;

[tex]\begin{gathered} tan45=\frac{opposite}{adjacent}=\frac{11}{x} \\ xtan45=11 \\ x=\frac{11}{tan45} \\ x=11 \end{gathered}[/tex]

Answer: x =11

Also

[tex]\begin{gathered} sin45=\frac{opposite}{Hypotenuse}=\frac{11}{y} \\ ysin45=11 \\ y=\frac{11}{sin45} \\ y=11\div\frac{1}{\sqrt{2}} \\ y=11\sqrt{2} \end{gathered}[/tex]

Answer:

[tex]y=11\sqrt{2}[/tex]

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