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Who proved Euclid's theorem that the interior angles of any triangle always sum to 180 degrees?
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∙ 14y ago
Chndrakant Sir
Wiki User
∙ 14y ago
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What does the angle sum theorem for triangles state?
Presumably it states that for any triangle its 3 interior angles add up to 180 degrees.
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What is triangle sum theorem?
The theorem that the three angles of a triangle can be added up to equal 180 degrees. Don't confuse this with a theory, however; this has been proven true.
What is the angle of a triangle measuring 68 X 68 X 82?
It is an isosceles triangle having 3 interior angles 2 of which are equal in size and the 3 angles add up to 180 degrees. Use Pythagoras' theorem to find its altitude and then use trigonometry to find the sizes of its angles. The angles work out as 53 degrees, 53 degrees and 74 degrees
What is the perimeter and interior angles of a right angle triangle when its height is 7 cm greater than its base and has an area of 60 square cm?
Perimeter: 17+15+8 = 40 cm Interior angles to the nearest degree: 62 degrees, 28 degrees and 90 degrees Solved by means of the quadratic formula, Pythagoras' theorem and trigonometry.
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
What is the triangle sum theorem?
The theorem that states every triangle's angles add up to 180 degrees
What does the angle sum theorem for triangles state?
Presumably it states that for any triangle its 3 interior angles add up to 180 degrees.
If two angles of a triangle each measure 45 degrees what is the third angle?
If two angles of a triangle each measure 45 degrees, the third angle measures 90 degrees. This is because of the Triangle Sum Theorem - The sum of the measure of the interior angles of a triangle is 180 degrees. If you know that two of the angles total to be 90 degrees, you can subtract that 90 degrees from the total 180. The result is 90 degrees.
What type of triangle is used in Pythagoras theorem?
Right triangle ( triangle in which one angle is 90 degrees)
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What triangle does the pythagorean theorem relate to?
A right triangle, that is, one with one angle of 90 degrees.
Triangle sum theorem?
The sum of all inner angles within a triangle is 180 degrees.
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
What is triangle sum theorem?
The theorem that the three angles of a triangle can be added up to equal 180 degrees. Don't confuse this with a theory, however; this has been proven true.
What is the name of the theorem that states that the measures of the angles in a triangle add up to 180 degrees?
It isn't a theorm, it is a formula. The formula states that for a polygon with S sides, the sum of the interior angles is equivilant to (S-2)times 180
Why is the sum of the interior angles of a quadrilateral 360 degrees?
This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.
