dlbrown3306 dlbrown3306
  • 17-02-2019
  • Mathematics
contestada

In triangle ABC, BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees. What is AC to two decimal places?

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imlittlestar
imlittlestar imlittlestar
  • 18-02-2019

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

Ver imagen imlittlestar
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