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It is customer to use capital letters for the vertices of a triangle, and lower case letters for the sides, with a being opposite A etc. So AB is c and so on. Converting the letters in the problem to capitals, and using a for BC and so on, we have 3 linear equations in a, b, and c, namely
a + b + c = 64
c = (4/3)a
b = a + c - 20
Substituting the second equation into the third gives
b = (7/3)a - 20
Substituting this and the second equation into the first gives
a + (7/3)a - 20 + (4/3)a = 64
Simplifying,
(14/3)a - 20 = 64
(14/3)a = 84
a = 18
b = 22
c = 24
The answer is 18
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How do you 'find the ratio of its length to its perimeter?
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
What would the ratio of a two rectangles be if one rectangles width is 24Cm and length 30Cm the other rectangle is width of 36 Cm length of 42 Cm?
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
The ratio of the lengths of corresponding parts in two similar solids is 41 What is the ratio of their surface areas?
Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681
What is the ratio to a side length to the perimeter of a square?
It is: 1 to 4
What is the ratio of the perimeter of a square to the length of its side?
4 to 1.
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?
The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.
How do you 'find the ratio of its length to its perimeter?
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
If two cylinders are similar and the ratio between the lengths of their edges is 2 5 what is the ratio of their volumes?
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
What would the ratio of a two rectangles be if one rectangles width is 24Cm and length 30Cm the other rectangle is width of 36 Cm length of 42 Cm?
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
What is the Ratio of rectangle 18cm length 84cm perimeter to 15cm length 77cm perimeter?
1:1.23
If a rectangle has a perimeter of 70 feet what is the 4 to 5 length to width ratio?
If the length to width ratio is 4 to 5 then the length to width ratio is 4 to 5no matter what the perimeter. If the perimeter is 70 feet then the sides are 15.555... and 19.444... feet respectively.
The ratio of corresponding side lengths of two similar rectangular tables is 4 5 what is the ratio of perimeter?
It is the same.
How do i find the Ratio of the shortest to the longest side of a triangle?
You divide the length of the shortest side by the length of the longest side.
What is the ratio length of the shortest side to the length of the longest side?
Shortest side -------------------- Longest side
If the areas of two similar decagons are 625 sq ft and 100 sq ft what is the ratio of the perimeters of the decagons?
If lengths are in the ratio a:b, then areas are in the ratio a2:b2 since area is length x length. If areas are in the ratio c:d, then lengths are in the ration sqrt(c):sqrt(d). Areas of decagons are 625sq ft and 100 sq ft, they are in the ratio of 625:100 = 25:4 (dividing through by 25 as ratios are usually given in the smallest terms). Thus their lengths are in the ratio of sqrt(25):sqrt(4) = 5:2 As perimeter is a length, the perimeters are in the ratio of 5:2.
The ratio of the lengths of corresponding parts in two similar solids is 41 What is the ratio of their surface areas?
Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681
What is the ratio to a side length to the perimeter of a square?
It is: 1 to 4
