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What is the hinge theorem?
The hinge theorem in geometry states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle
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 an angle bisector theorem?
a point on the bisector of an angle, it is equidistant from the 2 sides of the angle
Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?
No, it does not.
What shape does Pythagoras's theorem use?
Pythagoras' theorem is applicable to right angle triangles
What is side angle angle theorem?
Any two angles of a triangle determine the third angle. As a result, the side angle angle theorem is equivalent to the angle side angle theorem.
What is the Hinge Theorem is based on?
SAS Inequality Theorem the hinge theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Which is the hypotenuse-angle theorem?
It is Pythagoras' theorem
Can the Third angle theorem prove that the ASS triangle is congruent?
No, because the third-angle theorem requires that you know two angles of each of the triangles. Assuming ASS, you only know one angle. In fact, two triangles may have the same ASS and not be congruent. See if you can make two non-congruent triangles with Angle 60 deg, Side 10, and Side 9.
What is the hinge theorem?
The hinge theorem in geometry states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle
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- complete blank 1 and blank 2 for the proof of the third angle theorem?
(1) triangle sum, (2) subtraction
Length of third side of triangle?
for known 2 sides and included angle, use cosine theorem a2=b2+c2-2bc cos(angle A) for right-angled triangles, use Pythagoras's theorem a2+b2=c2
What is the Straight angle theorem?
A straight angle is an angle of 180 degrees
What is the 30-60 right angle theorem?
90
What is the formula of Pythagorean Theorem?
c2 = a2 + b2 Where "a" and "b" are the lengths of the sides of a triangle that meet to form a right angle (90 degree angle) and "c" is the third side, the hypotenuse
Why can't the Pythagorean theorem be used without a right angle?
The Pythagorean theorem is actually the law of cos, where the angle is 90.
