ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30° Calculate the size of angle ABC.
1 answer:
9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
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Step-by-step explanation:
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The surface area of a prism is given by the formula
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
For both prism the formula is the same
How is it different?
Rectangular prism
The area of the base is given by the formula
-----> is the area of rectangle
where
L is the length and W is the width of rectangle
The perimeter of the base is given by
---> is the perimeter of rectangle
The height H is the same in both cases
Triangular prism
The area of the base is given by the formula
-----> is the area of the triangular base
where
b is the base of triangle and h is the height of triangle
The perimeter of the base is given by
---> is the perimeter of triangle
where
a, b and c are the length sides of triangle
The height H is the same in both cases