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The length of the sides of a triangle are consecutive integers Half of the perimeter is 14 more than the length of the longest side Find the perimeter?
The sides are A, A+1, and A+2.
The perimeter is [ A + (A+1) + (A+2) ] = 3A + 3
Half of the perimeter = 1/2(3A+3) = (A+2) + 14
1/2(3A+3) = A + 16
3A + 3 = 2A + 32
3A = 2A + 29
A = 29
The sides are 29, 30, and 31.
The perimeter is 29+20+31 = 90
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Check:
The perimeter = 29+30+31 = 90.
1/2 (90) = 45 = 14 + 31 yay!
What else can I help you with?
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 hyphotenus in a right triangle?
It is the longest side of the three sides of the triangle.
Is the hypotenuse on a triangle always the longest side?
Only a right triangle has a hypotenuse, and yes,when there's a hypotenuse, it's the longest side.
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?
Let the shortest side be x cm, so that the longest side is 2x cm, and the third side is x + 7 cm. Since the perimeter of the triangle is 39 cm we have:x + 2x + x + 7 = 394x = 32x = 8Thus, the lengths of the sides are 8 cm, 15 cm, and 16 cm.
The longest side of a triangle is always opposite the angle with the measure?
angle with the greatest measure
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- The perimeter of the triangle shown is 120 inches. Find the length of the longest side?
50 in
What is the perimeter of a triangle when its longest side is 162cm with angles of 37.25 degrees and 48.4 degrees?
Using the sine rule in trigonometry the perimeter of the triangle works out as 382cm rounded to the nearest integer
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
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?
Using the sine rule in trigonometry the perimeter of the triangle is 381.83 cm and its area is 5956.67 square cm both rounded to two decimal places
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
What element has the longest consecutive string of consonants in it?
The element with the longest consecutive string of consonants in its name is "molybdenum," which has 8 consecutive consonants in a row (LYBDNM).
What is the perimeter and area of a triangle when its longest side is 162cm with angles of 37.25 degrees and 48.4 degrees?
Using the sine rule a/A = b/B = c/B the perimeter of the triangle works out as 382.02 cm with an area of 5965.8 square cm rounded to one decimal place.
How do you find the perimeter of a right angle when the length is 8 and the width is 8?
A "right angle" doesn't have a perimeter. From the rest of the question, we suspect that you might have meant to say a "right triangle", but that's just a guess. The perimeter of any triangle is the sum of the lengths of all three sides. In a right triangle, the length of the longest side is the square root of the sum of the squares of the two short sides. We're sure you can handle it from here.
