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It wants me to solve for the other leg and for the hypotenuse of the 45-45-90 triangle

It wants me to solve for the other leg and for the hypotenuse of the 45-45-90 triangle-example-1
User Ironkey
by
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1 Answer

2 votes

Given:

In the given 45-45-90 triangle,

Use the tan ratio,


\begin{gathered} \tan 45^(\circ)=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan 45^(\circ)=(v)/(7) \\ 1=(v)/(7) \\ v=7 \end{gathered}

Use the cosine ratio,


\begin{gathered} \cos 45^(\circ)=\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \cos 45^(\circ)=(7)/(u) \\ \frac{1}{\sqrt[]{2}}=(7)/(u) \\ u=\frac{7}{\sqrt[]{2}} \\ u=7\sqrt[]{2} \end{gathered}

Answer: option a)


u=7\sqrt[]{2},v=7

It wants me to solve for the other leg and for the hypotenuse of the 45-45-90 triangle-example-1
User Rpitting
by
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