Find the area of ABC
1 answer:
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Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = , then
cos30° = =
=
=
( cross- multiply )
2 AC = 12 ×
= 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
Answer:
The correct answer is: by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,
Therefore,
or you can say,
2. Common angle between is
In a nutshell, in ,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of :
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say .
<em>Since both triangles are congruent</em>, the sides and
are also congruent.