What is the largest possible side of a triangle?

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side. Pythagorean Theorem: In a right triangle with hypotenuse . c , a 2 + b 2 = c 2 .

What is the greatest possible length of a side of a triangle whose i 5/3 perimeter is 1000 and all of whose sides have integral lengths?

and by the difference of squares we get (c+a)(c−a)=144. Since the sides are integers, c+a and c−a must be integers as well. We can systematically check if c+a and c−a are factors of 144. Since we want to maximise c+a, and therefore a,c, let us check the factor pair (1,144) first.

How do I figure out the perimeter of a triangle?

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

How do you find the length of a perimeter of a triangle?

The perimeter of a triangle can be calculated by simply adding the length of all the sides. The basic formula to calculate the perimeter of a triangle with sides ‘a’, ‘b’, and ‘c’ is: a + b + c.

How do you find the length of a triangle if the perimeter is given?

Solution: Since all three sides are equal in length, the triangle is an equilateral triangle. Perimeter = 30 cm….Read More:

Perimeter of a Triangle Formula	Equilateral Triangle Formula
Acute angled Triangle	Isosceles Triangle Perimeter Formula

What is greatest possible perimeter of right angled triangle with integer side lengths?

Originally Answered: What is the greatest possible perimeter of a right-angled triangle with integer side lengths, if one of the side lengths is 12? The answer is 84.It comes from the right triangle (12,35,37).

How many triangle with a perimeter of 8 units have side lengths as integers?

Hence, only 1 triangle with a perimeter of 8 units have side lengths as integers.

How do you get the sides of a triangle given the perimeter?

What is the length of one side of a triangle?

The lengths of the sides of a triangle are integers and its area is also an integer. One side is 21 and the perimeter is 48. How do I find the shortest side? – Quora The lengths of the sides of a triangle are integers and its area is also an integer. One side is 21 and the perimeter is 48. How do I find the shortest side?

What happens when the sum of 2 sides of a triangle?

The interactive demonstration below shows that the sum of the lengths of any 2 sides of a triangle must exceed the length of the third side. The demonstration also illustrates what happens when the sum of 1 pair of sides equals the length of the third side–you end up with a straight line!

Does the triangle inequality theorem apply to all three sets?

You can experiment for yourself using our free online triangle inequality theorem calculator — which lets you enter any three sides and explains how the triangle inequality theorem applies to them. Do I have to always check all 3 sets? NOPE! You only need to see if the two smaller sides are greater than the largest side!

When do the sides of a triangle do not satisfy the theorem?

As soon as the sum of any 2 sides is less than the third side then the triangle’s sides do not satisfy the theorem. Use the shortcut and check if the sum of the 2 smaller sides is greater than the largest side. Side 1: 1.2 Side 2: 3.1