Respuesta :

towl35

Answer:

I'm not sure what you're looking for so I'll give you everything that I can about that triangle. The angles of the triangle are 90°, 66° and 24°. The size of the triangle are 8.22, 3.66, and the hypotenuse is 9

Step-by-step explanation:

angle A and angle B are complementary angles meaning they add up to 90° since this is a right triangle so 66 + 24 = 90 angle A is 24°. Now to find the measures of The legs of this triangle will use trigonometry more specifically the sign function.

[tex]b = \sin(66) = \frac{b}{9} \\ 9 \sin(66) = b \\ 8.22 = b[/tex]

[tex]a = \sin(24) = \frac{a}{9} \\ 9 \sin(24) = a \\ 3.66 = a[/tex]

by the Pythagorean theorem

[tex] {3.66}^{2} + {8.22}^{2} = {9}^{2} \\ 80.9 = 81[/tex]