Any combination is possible provides that the sum of any two sides is always greater than the third.
So, given sides of length x and y, the third side z must be such that
x - y < z < x + y when x > y
and
y - x < z < x + y when x <= y
The sum of the lengths of any pair must be larger than the length of the third side.
Yes, the three given lengths will form a triangle. Three lengths can make a triangle if, and only if, the sum of the two shorter lengths is greater than the longest length. The two shorter lengths are 56 ft and 16 ft with a sum of 56 ft + 16 ft = 72 ft 72 ft is greater than 65 ft so 56 ft, 65 ft and 16 ft will make a triangle.
Hypotenuse,Adjacent and opposite in a triangle and these sides can be worked out
No
No
Yes, an Isosceles.
-- Make sure you have the lengths of all three sides -- Add up the lengths of all three sides to get the perimeter of the triangle.
three
Yes, the three given lengths will form a triangle. Three lengths can make a triangle if, and only if, the sum of the two shorter lengths is greater than the longest length. The two shorter lengths are 56 ft and 16 ft with a sum of 56 ft + 16 ft = 72 ft 72 ft is greater than 65 ft so 56 ft, 65 ft and 16 ft will make a triangle.
Hypotenuse,Adjacent and opposite in a triangle and these sides can be worked out
If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.
No
No
The largest angle is 180° - that is if you consider a straight line a triangle. The three lengths do not make a triangle since 5.8 cm + 8.3 cm = 14.1 cm In other words you have a line segment with two line segments on it and the angle in a straight line is 180°
No. If you have three pencils of different lengths, or three straws, or something similar, try putting them together with each one touching one end of another to make a closed plane figure. The only way to join them to form a polygon is to make a triangle.
Yes, an Isosceles.
To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.
By Pythagoras's theorem, to make a right angled triangle, 142 + 152 should be 212 But 142 + 152 = 196 + 225 = 421 whereas 212 = 441 So these three sides cannot make a right angled triangle.