Respuesta :

zrh2sfo

Answer:

P = 24 cm

q = 20.7846 cm

Step-by-step explanation:

Answer:

Sides:

a = 12 cm

b = 24 cm

c = 20.7846 cm

Angles:

A = 30 °

B = 90 °

C = 60 °

Other:

P = 56.7846 cm

s = 28.3923 cm

K = 124.708 cm²

r = 4.3923 cm

R = 12 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b  

c = side c

P = perimeter

s = semi-perimeter  

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.

use the Sum of Angles Rule to find the other angle, then  use The Law of Sines to solve for each of the other two sides.

sqdancefan

Answer:

  • q = 12√3
  • p = 24

Step-by-step explanation:

The ratios of side lengths, shortest to longest, in a 30°, 60°, 90° triangle are ...

  1 : √3 : 2

Since your shortest side is 12, the other two sides are ...

  12 : q : p = 12 : 12√3 : 24

 q = 12√3

  p = 24

_____

Alternate solution

You can also solve this using trig ratios, as described for you in answer to one of your other questions.

  12/q = tan(30°) . . . . q = 12/tan(30°) = 12√3

  12/p = sin(30°) . . . . p = 12/sin(30°) = 24

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