Identify and calculate the area and perimeter for triangle, a=8.1mm, b= 4.5mm, c=9.27mm

96 cm

you need at least 2 measurement or 2 angles

Since acre is a measure of area and feet is a measure of distance, you need to calculate the perimeter of a lot with an area of half an acre. Here are the formulas:
1. If the lot is a square (all 4 sides of equal length), multiply the length of one side by 4, to get the # of feet required to walk a half acre piece of land.
2. If the lot is rectangle: (heightx2)+(widthx2).
3. If the lot is a triangle, add up all three sides.

Find the scaling ratio
Perimeter of first pentagon is 12*5=60 cm
Scale factor (2nd/first)=140/60 =7/3
Ratio of areas varies as the square of the scale factor for the lengths
Area of second / area of first =(7/3)^2 =49/9
Area of second pentagon =248 *(49/9) cm^2
Finish the calculation.

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You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of (1/2)*SQRT(203) or about 7.1239 cm



You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found), the measure of the second leg is (1/3) the altitude of the equilateral triangle that forms the base. You should find (1/3) m MH= (1/3)* (11/2)*SQRT(3)


1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).
2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).
3. Total area = area of base + lateral area.
4. Volume= (1/3)(Area of base)* (height of pyramid)
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Since you have the coordinates of the three vertices, the most straightforward method is to calculate the length of the sides using the distance formula
d(P_1,P_2)=SQRT((X_1-X_2)^2+(Y_1-Y_2)^2)
where SQRT is the square root function, X_1, Y_1) are the coordinates of point P_1, etc.
With the three lengths available, use Heron's (sometimes called Hero's) to find the area.
Here is Heron's formula.
Let's call the lengths a, b, and c
Let p be the semi-perimeter p= (a+b+c)/2
Then
Area= SQRT [ p(p-a)(p-b)(p-c) ]
Make sure that there is a matching ) parenthesis to the one in the SQRT.

Alternatively,
You can choose the base as the side opposite the vertex (0,0)
Calculate the equation of the line that supports the base.
Calculate the equation of the line issuing from (0,0) and perpendicular t the base.
Calculate the coordinates of the intersection point , call it H, of the base and its perpendicular line (coming from (0,0)).
Calculate the distance OH, that is the height relative to the chosen base.
Use the formula Area= base*height/2

Now it is up to you to choose one of the two methods and calculate the area of that triangle. The second method involves more calculations than the first, and more possibilities of errors. Good Luck

Since you have the coordinates of the three vertices, the most straightforward method is to calculate the length of the sides using the distance formula
d(P_1,P_2)=SQRT((X_1-X_2)^2+(Y_1-Y_2)^2)
where SQRT is the square root function, X_1, Y_1) are the coordinates of point P_1, etc.
With the three lengths available, use Heron's (sometimes called Hero's) to find the area.
Here is Heron's formula.
Let's call the lengths a, b, and c

Let p be the semi-perimeter p= (a+b+c)/2
Then
Area= SQRT [ p(p-a)(p-b)(p-c) ]
Make sure that there is a matching ) parenthesis to the one in the SQRT.

Alternatively,
You can choose the base as the side opposite the vertex (0,0)
Calculate the equation of the line that supports the base.
Calculate the equation of the line issuing from (0,0) and perpendicular t the base.
Calculate the coordinates of the intersection point , call it H, of the base and its perpendicular line (coming from (0,0)).
Calculate the distance OH, that is the height relative to the chosen base.
Use the formula Area= base*height/2

Now it is up to you to choose one of the two methods and calculate the area of that triangle. The second method involves more calculations than the first, and more possibilities of errors. Good Luck

Assuming the floor is rectangular, the perimeter is 918 and the area is 50318. The ratio of these two numbers is 459:25159.

All triangles have three sides.
There are two main formulas that do not call on trigonometric ratios.
The classic one:

• 1. You need the length of a base and it corresponding height (the length of the segment perpendicular to that base and passing through the vertex (summit) opposite to that base. Area=(1/2) * (measure of the base)*(measure of the height). The base and height must be expressed in the same unit.

Heron's Formula if you have the length of the three sides. Let those measures be a, b, and c.

• Calculate the semi-perimeter p with p=(1/2)(a+b+c)
• Area=Square root of (p*(p-a)*(p-b)*(p-c))
• a, b, and c must be expressed in the same unit.
  

Hello,

1. This lot does not have the form or a regular quadrilateral (rectangle, square, parallelogram, etc.)
   
2. So you cannot calculate its area, you have to know exactly the shape it has.
3. With polygons, one usually cuts them into triangles.
   
4. You have to cut it into two triangles,
   
5. measure the base and the height of each triangle,
   
6. use the area formula for the triangle ( area = heightX base/2)
   
7. After you calculate the areas of both triangles, you add them to get the area of the the whole lot in ft^2.
   
8. Using the conversion formula between acres and ft^2 which is 1 acre=43560 ft^2, you divide the area of the lot in square feet by the number 43560 ft^2 and express the result as a percentage or a fraction .

Hope it helps.
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