The answer has to be 34 units^2 (34 units squared)
The correct order for bisecting angle ABC is F D E B C A. Option D
<h3>Steps in bisecting angles</h3>
The steps involved in bisecting angles are;
- Place compass point on the vertex of the angle (point B).
- Stretch the compass to any length that will stay OF the angle
- Swing an arc so the pencil crosses both sides (rays) of the given angle. You should now have two intersection points with the sides (rays) of the angle
- Place the compass point on one of these new intersection points on the sides of the angle. Stretch the compass to a sufficient length to place your pencil well into the interior of the angle, this should be within the rays of the angle
- Place an arc in this interior
- Without changing the span on the compass, place the point of the compass on the other intersection point on the side of the angle and make a similar arc. The two small arcs in the interior of the angle should be intersecting
- Connect the vertex of the angle (point B) to this intersection of the two small arcs
From the listed steps, the correct order for bisecting angle ABC is F D E B C A. Option D
Learn more about bisectors here:
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Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
