We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
- One side is 3 times the second side.
- Third side is 12 feet longer than the second side.
As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
- So let the second side be x
Then,
- First side = 3x
- And, third side = x + 12
We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

Solving it further,

Subtracting 12 from both sides,


Dividing 5 from both sides,


Then,
- First side = 3x = 12 feet
- Second side = 4 feet
- Third side = x + 12 = 16 feet
And we are done with the answer !!
#CarryOnLearning
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In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13
<span>3x-5=5x+11
subtract 3x to both sides
</span>3x-5 - 3x =5x+11 - 3x
<span>simplify
-5 = 2x +11
answer is </span><span>D. -5=2x+11</span>
Answer:
The answer is 8.
Step-by-step explanation:
The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:
.
So when a side of the the larger figure is 12 then:

Therefore
.
Thus the length of the corresponding smaller side is 8.
Answer:
V= area of cross-section x length
V = 0.5x(8x9) x 11
V = 396cm^3
Hope this helps!