What happens when the sum of two sides of a triangle equals the third?

Step-by-step explanation: Sum of 2 sides of triangles should be greater than the third side, then it is a triangle. If the sum of two sides is equal to or less than the third side, then it cannot be a triangle .

Can two sides of a triangle be equal to the third side?

The sum of the lengths of 2 sides of a triangle must be greater than—but not equal to—the length of the third side.

What happens if two sides of a triangle are equal?

if 2 sides are equal , you have an isosceles triangle; the two angles adjacent to those 2 sides will measure the same. The angle shared by the two equal sides, (its vertex) will be the odd man out.

Is it possible to have a triangle such that the sum of the measures of the small and medium sides is equal to the measure of the large side?

Is it possible to have a triangle such that the sum of the measures of the small and medium sides is equal to the measure of the large side? Explain. No, it is not possible.

Why must the sum of two sides of a triangle be greater than the third side?

In order to draw a triangle, the sum of the lengths of any of the two segments must be greater than the length of the third segment. that a + b is not greater than c. The sum of the lengths of any two sides of a triangle must be greater than the third side.

Which sides of triangle are equal?

In geometry, an isosceles triangle is a triangle that has two sides of equal length….

Isosceles triangle
Isosceles triangle with vertical axis of symmetry
Type	triangle
Edges and vertices	3
Schläfli symbol	( ) ∨ { }

Can a triangle be 7 5 4 sides?

SOLUTION: Yes; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

What is the sum of all sides of triangle?

The sum of three sides of a triangle is known as perimeter. Perimeter of triangle is the total length of boundary of the triangle which is equal to the sum of three side lengths . In the formal terminology of Mathematics, that sum would be known as the “perimeter” of that triangle. It is called the perimeter.

Can a right triangle be formed if the sum of two sides?

Not only can’t a right triangle be formed, but no triangle can be formed where the sum of 2 sides equals the third.

What is the rule for sides of a triangle?

Rule 2: Sides of Triangle — Triangle Inequality Theorem : This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Rule 3: Relationship between measurement of the sides and angles in a triangle: The largest interior angle and side are opposite each other.

What is the sum of two sides > the third side?

Sum of two sides > Third side. Sum of two sides is always greater than the third side. Since sum of any two sides is greater than the third side. Since sum of any two sides is greater than the third side. Since sum of any two sides is greater than the third side.

What is the sum of all the angles in a triangle?

As you can see from the picture below, if you add up all of the angles in a triangle the sum must equal 180 ∘ . To explore the truth of this rule, try Math Warehouse’s interactive triangle , which allows you to drag around the different sides of a triangle and explore the relationship between the angles and sides.