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The angles where the equal sides meet the third side of the triangle are equal angles.

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Q: What relationships exist between the two congruent sides of an isosceles triangle and its base?
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Related questions

Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?

Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.


What are one similarity and one difference between an isosceles trapezoid and an isosceles triangle?

One has three sides, the other has two. Both have one pair of congruent sides.


What is the difference between a trapezoid and an isosceles trapezoid?

In a general trapezium, the non-parallel sides are not congruent. However, in an isosceles trapezium, the non-parallel sides are congruent. So the shape is like an isosceles triangle with its apex chopped off by a straight line parallel to its base.


What is the difference between an isosceles triangle and a right triangle?

In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles. An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles. __________ A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. An isoceles triangle has TWO sides of equal length but and equilateral triangle has THREE sides of equal length.


Is a triangle with two congruent legs always a 45-45-90 triangle?

No. The triangle is an isosceles triangle and the angle between the equal sides can be any angle greater than 0° and less than 180°.


How do you prove that the diagonals of an isosceles trapezoid are equal?

Let's draw the isosceles trapezoid ABCD, where AD ≅ BC, and mADC ≅ mBCD. If we draw the diagonals AC and BD of the trapezoid two congruent triangles are formed, ∆ ADC ≅ ∆ BDC (SAS Postulate: If two sides and the angle between them in one triangle are congruent to the corresponding parts in another triangle, then the triangles are congruent). Since these triangles are congruent, AC ≅ BD.


What is the difference between a triangle and an isosceles triangle?

An isosceles triangle has to have two sides of equal length. An isosceles triangle has to have two sides of equal length.


What are the differences between an isosceles triangle and an equilateral triangle?

An isosceles triangle only has 2 equal sides while an equilateral triangle has 3equal sides


If two sides of a triangle are congruent then the angles oppsite those sides are congruent?

Yes as in the case of an isosceles triangle which has two equal sides and two equal base angles


What is the difference between an isosceles and a regular triangle?

An isosceles triangle has two equal sides and one that isn't. A regular triangle has three equal sides.


What is the difference between an isosceles triangle and a scalene triangle?

An isosceles triangle has two equal side; a scalene triangle has no two equal sides.


What is the differences between an isoceles triangle and an obtuse triangle?

-- An isosceles triangle can also be an obtuse triangle but it doesn't have to be. -- An obtuse triangle can also be an isosceles triangle but it doesn't have to be. So there's no consistent diferences betwen them.