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Q: What is the term for the longest side of a triangle called?
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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 does the maths term Pythagoras mean?

1) A famous mathematician. 2) The word is often used for the relationship a2 + b2 = c2. This applies to a right triangle, assuming "c" is the longest side (the side opposite the right angle).


Is SAS a right triangle congruency ONLY?

SAS (Side-Angle-Side) is a geometric term that describes if two triangles are congruent - whether it is a right triangle or not.


Where is the length of a rectangle?

The term "length" is usually used for the rectangle's longest side.


Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side so that the segment is perpendicular to that line?

The description given fits that of a right angle triangle