2x=y
x+3=z
x+y+z=75
x+2x+x+3=75
4x=72
x=18
y=36
z=21
10
Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)
The largest angle of the triangle is 94.34 degrees and using the sine rule the shortest side is 98.34 cm
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)
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.
You divide the length of the shortest side by the length of the longest side.
10
9 in.
50 in
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
Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)
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.
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.
Shortest side -------------------- Longest side
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
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
The largest angle of the triangle is 94.34 degrees and using the sine rule the shortest side is 98.34 cm