ablakely21
ablakely21 ablakely21
  • 03-02-2018
  • Mathematics
contestada

Given: ΔАВС, m∠ACB = 90°,m∠ACD = 30°,AD = 8 cm. Find: CD, Perimeter ΔABC

Please solve!

Respuesta :

teamath333
teamath333 teamath333
  • 09-02-2018
If m ACD = 30 => m DCB = 60.
In triangle ACD:
[tex]sin 30^{o}=sin \frac{AD}{AC} =\ \textgreater \ \frac{1}{2} = \frac{8}{AC} =\ \textgreater \ AC=16 [/tex]
[tex]CD= 8 \sqrt{3} [/tex]
[tex]BC= 16\sqrt{3} [/tex]
AC^{2}+CB^{2}=AB^{2} => AB=[tex] \sqrt{1024} [/tex]=32.
=> P=16+32+[tex]16 \sqrt{3} [/tex]=48 +[tex]16 \sqrt{3} [/tex].
Ver imagen teamath333
Answer Link
milanaalixzandar
milanaalixzandar milanaalixzandar
  • 15-01-2021

If m ACD = 30 => m DCB = 60.

In triangle ACD:

AC^{2}+CB^{2}=AB^{2} => AB==32.

=> P=16+32+=48 +.

Answer Link

Otras preguntas

What was the South’s greatest concern when California applied for statehood?
What are the operation sines that make this statement correct? 3_5_7_18_3=14
let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)
find the amplitude, period, and phase shift of the function defined by: y=3-2cos(3x+pi)
What are the operation sines that make this statement correct? 3_5_7_18_3=14
Consider two linear transformations y = T(x) and z = L(y), where T goes from R^m to R^p and L goes from R^p to R^n. Is the transformationz = L(T(x)) linear as w
Compute the odds in favor of rolling a sum of 10 in a single roll of two fair dice
Write a complete reaction of succinic acid and acetic anhydride
f f(x) = 2x2 and g(x) = 3x, what is (g o f)(x) a. 6x2 b. 9x2 c. 18x2 d. 8x4
Two diverging light rays, originating from the same point, have an angle of 5° between them. After the rays reflect from a plane mirror, what is the angle betwe