Question

Find the length of the sides of these special triangles

Answer 1

In order to find the length of all sides of the given triangle, proceed as follow:

Use the tangent of 30 degrees to find the value of Z, as follow:

$\begin{gathered} \tan 30=\frac{\text{opposite}}{\text{adjacent}}=\frac{7ft}{Z} \\ Z=\frac{7ft}{\tan 30}\approx12.12ft \end{gathered}$

Now, to calculate the the hypotenuse of the triangle, use the Pythagorean theorem:

$\begin{gathered} h^2=(12.12ft)^2+(7ft^2) \\ h\approx14.0ft \end{gathered}$

Hence, the missing lengths of the given triangle are Z = 12.12ft and

h =14.0 ft