Question

MDA is a 45°-45°-90° triangle and MD = 12. Find MA.

Answer 1

To find the measurement of MA we can use the trigonometric functions

Since the triangle is a 45-45-90 triangle then we know that the cos and the sin is the same which means thta both of the legs for the triangle are the same.

By definition the cos is

`\cos \theta=(ad)/(hy)`

and we also know that the cos for a 45° angle is

then we know that for the triangle given

`\begin{gathered} \cos 45\~=(MA)/(MD) \\ \cos 45\~=(MA)/(12) \\ \frac{\sqrt[]{2}}{2}=(MA)/(12) \\ 12\cdot\frac{\sqrt[]{2}}{2}=MA \\ MA=6\sqrt[]{2} \end{gathered}`