Is it possible to have an acute isosceles triangle

The base angles, angle X and angle Y, are four times the measure of What is the isosceles triangle theorem? See all questions in Angles with Triangles and Polygons. Impact of this question views around the world. You can reuse this answer Creative Commons License. An isosceles triangle may be right, obtuse, or acute see below.

In a scalene triangle, none of the sides are the same length. A scalene triangle may be right, obtuse, or acute see below. In an equiangular triangle, all the angles are equal? An equiangular triangle is a kind of acute triangle, and is always equilateral. In a right triangle, one of the angles is a right angle? Yucheng Certified Tutor. Report an issue with this question If you've found an issue with this question, please let us know.

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Therefore, the two congruent sides of Triangle A measure ; however, the question asks for the two congruent sides of Triangle B. In similar triangles, the ratio of the corresponding sides must be equal. We know that the base of Triangle A is and the base of Triangle B is. We then set up a cross-multiplication using the ratio of the two bases and the ratio of to the side we're trying to find , as follows:.

Therefore, the length of the congruent sides of Triangle B is. Isosceles triangles and share common side. What is the measure of? Here, we have one common side S , and no other demonstrated congruence. Hence, we cannot guarantee that side is not one of the two congruent sides of , so we cannot state congruence with. If you've found an issue with this question, please let us know.

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