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the following 1) A triangle with two congruent sides. 2) These are the two congruent angles of an isosceles triangle. 3) One angle of an isosceles triangle measures 70'. What are the measures other two angles? 4) If one of the base angles of an isosceles triangle measures 35', what is th measure of its vertex angle? 5) What is true about equilateral triangles?
When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
The congruent sides of the isosceles triangle are called the legs. The other side is called the base. The angles between the base and the legs are called base angles. The angle made by the two legs is called the vertex angle.
The measures of the interior angles of a triangle add up to 180°. So, one possibility is two 70° angles and one 40° angle. The only other possibility is one 70° angle and two 55° angles.
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In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
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