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isosceles triangle

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What is an angle formed by extending one side of a triangle?

Exterior


The angle formed when one side of the polygon is extended?

exterior angle


When a triangle is formed from three given side lengths is the triangle a unique triangle or can more than one triangle be formed using those same side lengths explain?

A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.


How do you find a missing exterior angle of a triangle?

At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.


What is an angle formed by one side of a triangle and the extension of the adjacent side?

Exterior and interior angles at the vertex of a triangle add up to 180 degrees


An angle formed by one side of a triangle and the extension of the adjacent side is What?

Exterior and interior angles at the vertex of a triangle add up to 180 degrees


What is an angle formed by one side of a triangle and the extension of an adjacent side?

Exterior and interior angles at the vertex of a triangle add up to 180 degrees


Can an acute triangle never have an acute exterior angle?

No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.


What is an angle formed by one side of the triangle and the extension of an adjacent angle?

Exterior and interior angles at the vertex of a triangle add up to 180 degrees


How many triangles exist with the given side lengths 3cm 4cm 2cm?

A scalene triangle is one type of triangle that will be formed from the given dimensions.


How many triangles can be formed from two given angle measures and the length of their included side?

From two given angle measures and the length of their included side, only one triangle can be formed. This is due to the fact that the angle-side-angle (ASA) configuration uniquely determines a triangle. The specific measures of the angles and the included side create a fixed shape, with no ambiguity in the triangle's dimensions or orientation.


How many triangles exist with the given side lengths 4m 4m 7m?

To determine the number of triangles that can be formed with side lengths of 4m, 4m, and 7m, we can use the triangle inequality theorem. For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4m + 4m = 8m, which is greater than 7m. Therefore, a triangle can be formed. Since all three sides are equal in length, this triangle is an equilateral triangle. So, there is only one triangle that can be formed with side lengths of 4m, 4m, and 7m.