When the sides of a triangle are extended?

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When the sides of a triangle are extended?

An exterior angle of a triangle is formed when one side of a triangle is extended. The nonstraight angle (the one that is not just the extension of the side) outside the triangle, but adjacent to an interior angle, is an exterior angle of the triangle (Figure 1 ). Figure 1 Exterior angle of a triangle.

How many exterior angles are formed when all the sides of the triangle are extended?

An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle. FACTS: Every triangle has 6 exterior angles, two at each vertex.

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What is the sum of two sides of a triangle?

Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

What is the sum of an exterior angle of a triangle and its adjacent interior angle?

The sum of an exterior angle of a triangle and its adjacent angle is always 1800.

What is extended on both sides?

A line can be extended on both sides indefinitely. It doesn’t have a fixed starting and ending point.

When the sides of a triangle are extended other angles are formed the three original angles are called?

Interior angles are three angles found inside a triangle. Exterior angles are formed when the sides of a triangle are extended to infinity. Therefore, exterior angles are formed outside a triangle between one side of a triangle and the extended side. Each exterior angle is adjacent to an interior angle.

Can sum of 2 sides be equal to third side?

Answer Expert Verified No,it is not possible to draw a triangle with sum of two sides equals to the third side. Lets see the proof: We know that the sum of two sides of a triangle is always Greater than the third side. the sum of two sides of a triangle is always Greater than the third side.

When 2 sides of a triangle are equal then the third side?

If the two sides are the same in both the triangles but the angle between them are different then the triangles will not have the third side as equal. If the two sides are the same in both the triangles and the angle between them are the same then the triangles will have the third side as equal.

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What is the exterior angle sum of a triangle?

360°
The sum of exterior angles of a triangle is equal to 360°.

Can a triangle be formed if length of sides are 10 cm 5 cm and 4cm?

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.

Can be extended on either side?

(i) A ray can be extended indefinitely on either side. (ii) A ray has a definite length. (iii)Yes, a line segment has a definite length. (iv) A line segment has two end-points.

Can be extended in both direction?

YES,a line segment can be extended endlessly in both directions.

How to find the sum of the exterior angles of a triangle?

If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is n the given ΔABC, all the three sides of the triangle are produced. We need to find the sum of the three exterior angles so produced. ∠A + ∠B + ∠C = 180° …….

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What is the relationship between sides of a 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. Relationship between measurement of the sides and angles in a Triangle: The largest interior angle and side are opposite each other.

What is the exterior angle property in geometry?

What is the exterior angle property? If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Do all polygon exterior angles add up to 360? Yes, the sum of exterior angles in a polygon is always added up to 360 degrees.

What are the properties of a triangle?

Triangles are one of the most fundamental geometric shapes and have a variety of often studied properties including: 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. )