This is a particular case, but it is not necessarily true. If triangles STU and XYZ are similar, the corresponding sides are in the same proportion. So, there exists a number 
such that
So, if 
, the corresponding sides are actually congruent, but it can be any other number. For example, if 
, triangle XYZ is exactly twice as large as triangle STU, but they are still similar.
The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.
Answer: because there are different methods to it and different solutions.
Step-by-step explanation:
Answer:
x should be 55
Step-by-step explanation:
the acute angle is 55 and we know that the whole horizontal is 180 so calculate 180-55 to find the obtuse angle which is 125. Then subtract 70 from that to isolate for x and you get 55.
Answer:
64.3 m²
Step-by-step explanation:
The figure is composed of a square and a quarter circle.
Therefore, area of the figure = area of the square + area of quarter circle
= s² + ¼(πr²)
Where,
s = 6 m
r = 6 m
Plug in the values
Area = 6² + ¼(π*6²)
Area = 64.274334 ≈ 64.3 m² (nearest tenth)
