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2x=y

x+3=z

x+y+z=75

x+2x+x+3=75

4x=72

x=18

y=36

z=21

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Q: A triangle has a perimeter of 75cm The longest side is twice as long as the shortest side The third side is 3 cm longer than the shortest side What is the length of the longest side?
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A triangle has a perimeter of 46 cm the longest side is twice as long as the shortest side the third side is 6 cm longer than the shortest side the length of the shotest side is?

10


What is the formula of a triangle in perimeter?

Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)


What is the length of the shortest side of a triangle when its longest side is 162 cm and has two angles of 37.25 and 48.4 degrees?

The largest angle of the triangle is 94.34 degrees and using the sine rule the shortest side is 98.34 cm


Which are measurements of the sides of a right triangle?

There are an infinite number of different right triangles. The only thing you can say about all of them is:(the square of the length of the shortest side) plus (the square of the length of the next shortest side)is equal to (the square of the length of the longest side)


What is the possible value if perimeter of a triangle is 42 cm and it's largest side is a fundamental number?

I am not sure what you mean by a "fundamental" number (I've never heard of that term being used with reference to the numbers themselves); I guess you mean an "integer". For a triangle to exist the shorter two sides must be longer than the longest side. Thus there is an upper limit to the length of the longest side of a triangle. For a given perimeter, the longest side must be less than half the perimeter. For a perimeter of 42cm this means that the longest side is less than 42 cm ÷ 2 = 21 cm. If we focus on the longest side of a triangle, as it becomes shorter, one or both of the other two sides must increase in length, they can equal but never be longer than this longest side. Thus there is also a lower limit below which the longest side cannot be; this is when all three sides are equal and the triangle is an equilateral triangle. For a perimeter of 42cm the longest side is greater than or equal to 42 cm ÷ 3 = 14 cm So with a perimeter of 42 cm we have: 14 cm ≤ longest side < 21 cm Which means for an integer length, the longest side can be 14 cm, 15 cm, 16 cm, 17 cm, 18 cm, 19 cm or 20 cm.

Related questions

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.


A triangle has a perimeter of 46 cm the longest side is twice as long as the shortest side the third side is 6 cm longer than the shortest side the length of the shotest side is?

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what- The length of the shortest side of the scalene triangle is 5 inches.Find the length of the longest side?

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What is the longest length of a triangle if its shortest length is 3.6cm when two of its angles are 37.25 degrees and 48.4 degrees?

Largest angle: 93.25 degrees Shortest angle: 37.25 degrees Shortest length: 3.6cm Longest length: 3.6*sin(94.35)/sin(37.25) = 5.93cm to two decimal places


What is the formula of a triangle in perimeter?

Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)


What is the length of the longest side the perimeter of the triangle is 63 in.?

The perimeter doesn't tell you the length of any of the sides. There are an infinite number of different triangles that all have the same perimeter. The only thing you can tell from a 63-in perimeter is that no side can be 31.5 inches or more.


The length of the sides of a triangle are consecutive even numbers find the length of the longest side if it is 22 units shorter than the perimeter?

Let the length of the longest side of the triangle be x units.Since the lengths of the sides of the triangle are consecutive even numbers, which differ by 2, the perimeter of the triangle equals to (x - 4) + (x - 2) + x = 3x - 6.Since the length of the longest side is 22 units shorter than the perimeter, the perimeter of the triangle also equals to x + 22. So that3x - 6 = x + 22 (subtract x and add 6 to both sides)3x - x + 6 - 6 = x - x + 6 + 222x = 28 (divide both sides by 2)x = 14Thus the longest side has a length of 14 units.


What is the ratio length of the shortest side to the length of the longest side?

Shortest side -------------------- Longest side


What is the length of a triangle if its perimeter is 24 cm?

If a triangle with a perimeter of 24 cm is an equilateral triangle, then each of its 3 sides will be 8 cm in length


What is formula of finding the perimeter of a triangle?

Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)


What is the length of the shortest side of a triangle when its longest side is 162 cm and has two angles of 37.25 and 48.4 degrees?

The largest angle of the triangle is 94.34 degrees and using the sine rule the shortest side is 98.34 cm