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One side of a triangle is 4cm shorter and another 3cm shorter than the longest side and the perimeter is 25cm what are the lenghts of the three sides?
Wiki User
∙ 15y ago
Let's call the three sides A, B and C
Side A is the longest
Side B = (A - 4)
Side C = (A - 3)
A + B + C = 25
Now we'll substitute for the B and C
A + (A - 4) + (A - 3) = 25
Remove the brackets and add the As together
3A - 7 = 25
3A = 25 + 7
3A = 32
A = 10.6666
So
B must be 6.6666
and
C must be 7.6666
10.6666 + 6.6666 + 7.7777 = 24.999999
Wiki User
∙ 15y ago
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What is the length of the longest side the perimeter of the triangle is 63 in.?
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A triangle has a perimeter of 39 cm. The longest side is twice as long as the shortest side. The third side is 7 cm. longer than the shortest side. What are the lengths of the three sides?
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The longest side of a triangle is always opposite the angle with the measure?
angle with the greatest measure
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what- The perimeter of the triangle shown is 120 inches. Find the length of the longest side?
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What is the perimeter of a triangle when its longest side is 162cm with angles of 37.25 degrees and 48.4 degrees?
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No because in order to construct a triangle the sum of its 2 smaller sides must be greater than its 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.
What is the perimeter of a scalene triangle when its longest side is 162cm with angles of 37.25 degrees and 48.4 degrees?
Its longest side of 162cm is opposite to its biggest angle which is 94.54 degrees and by using the sine rule its other sides are 98.34cm and 121.49cm. Therefore perimeter of the triangle is: 162+98.34+121.49 = 381.83cm
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?
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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.
What is the perimeter of triangle if its longest side is 162cm when two of its angles are 37.25 degrees and 48.4 degrees?
The largest angle then will be 94.35 degrees opposite the longest sides of 162cm and by using the sine rule of 120/sin(94.35) = b/sinB = c/sinC the perimeter of the triangle works out as 381.83cm rounded to two decimal places.
What is the perimeter and area of a triangle whose longest side is 162cm when two of its angles are 37.25 degrees and 48.4 degrees?
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If 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 Then what is the lenght of the longest side is?
36 cm
