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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).
Which Term describes the point where the three angle bisectors of a triangle?
The point where the three angle bisectors of a triangle intersect is called the incenter. The incenter is equidistant from all three sides of the triangle and is the center of the inscribed circle (incircle) that touches each side of the triangle.
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.
Is the term hypotenuse associated with obtuse triangles?
No, it isn't. The term Hypotenuse is associated with right triangles. It is the longest side of the triangle, opposite the right angle.
Why is the side opposite of the right triangle called a hypotenuse?
Because that is the accepted convention. The hypotenuse is the longest side of a right triangle, the side opposite the right angle. The term comes from the Greek, hypoteinousa, meaning "to stretch", and was used by Plato in the Timeus 54d and by other ancient authors. For more information, please see the Related Link below.
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).
Which Term describes the point where the three angle bisectors of a triangle?
The point where the three angle bisectors of a triangle intersect is called the incenter. The incenter is equidistant from all three sides of the triangle and is the center of the inscribed circle (incircle) that touches each side of the triangle.
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.
Another name for a regular triangle?
A regular triangle is an equilateral triangle. It can also be be called equiangular but that term is not used much.
Where is the length of a rectangle?
The term "length" is usually used for the rectangle's longest side.
What is is the formula called that you can use to work out a side length of a right angle triangle?
The general term is trigonometry. What specific formula you use depends on what other information you have.
What term describes a line segment that connects a vertex of a triangle to a point of the line contains the opposite side so that the line segment is perpendicular to that line?
The term that describes this line segment is "altitude." In a triangle, an altitude is drawn from a vertex to the line containing the opposite side, creating a right angle with that side. Each triangle has three altitudes, one from each vertex, which can be inside or outside the triangle depending on the type of triangle.
What term describes a line segment that connects a vertex to the midpoint of the opposite side?
The term that describes a line segment connecting a vertex to the midpoint of the opposite side is called a "median." In a triangle, each of the three medians intersects at a point known as the centroid, which is the center of mass of the triangle. Medians play a crucial role in various geometric properties and calculations.
What term describes the point where the three medians of the triangle intersects?
It is called the centroid.
