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 .

How do you find the largest perimeter of a triangle?

Remember the formula for finding the perimeter of a triangle. For a triangle with sides a, b and c, the perimeter P is defined as: P = a + b + c. What this formula means in simpler terms is that to find the perimeter of a triangle, you just add together the lengths of each of its 3 sides.

What is the greatest side in a right angle triangle?

the hypotenuse
In a right angle triangle, the hypotenuse is the greatest side.

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 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.

What is the perimeter of the greatest triangle with 12 sides?

It is a known fact that the greatest triangle with integer sides and 12 as one of the sides is 12, 35, 37 hence the perimeter is 84

What is the difference between the largest and smallest possible perimeter?

The difference between the largest possible perimeter and the smallest possible perimeter is therefore , since the other two sides are the same for each triangle. If must be an integer, then the perimeter must be an integer, and the answer of is not possible. Remark: The Triangle Inequality…

What is the smallest integer that works on a triangle?

The smallest integer that works is $6$. The difference between the largest possible perimeter and the smallest possible perimeter is therefore $22-6$, since the other two sides are the same for each triangle.

What is the perimeter of H If H is an integer?

If h must be an integer, then the perimeter must be an integer, and the answer of 17.5 is not possible. Remark: The Triangle Inequality (the sum of any two sides must be greater than the third side) is an important fact about distances.