Can you sketch an obtuse isosceles triangle

The base of an isosceles triangle is five times the length of its correlative height. What is the area of an isosceles triangle with a vertex of degrees and two sides equal to units? This means that is , and the total base of the triangle is. What is the perimeter of an isosceles triangle with a vertex of degrees and two sides equal to?

Triangle A and Triangle B are similar isosceles triangles. Triangle A's sides measure , , and. Two of the angles in Triangle A each measure. Triangle B's sides measure , , and. What is the measure of the smallest angle in Triangle B? Because the interior angles of a triangle add up to , and two of Triangle A's interior angles measure , we must simply add the two given angles and subtract from to find the missing angle:.

Therefore, the missing angle and the smallest from Triangle A measures. If the two triangles are similar, their interior angles must be congruent, meaning that the smallest angle is Triangle B is also.

Triangle A has a base of and a height of. Triangle B has a base of. What is the length of Triangle B's two congruent sides? We must first find the length of the congruent sides in Triangle A. We do this by setting up a right triangle with the base and the height, and using the Pythagorean Theorem to solve for the missing side.

Because the height line cuts the base in half, however, we must use for the length of the base's side in the equation instead of. This is illustrated in the figure below:. Using the base of and the height of , we use the Pythagorean Theorem to solve for :.

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. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. No matter how small the acute angle is, there will be less than degrees to divide among the other two angles.

Therefore, the other angles could not both be greater than or equal to 90 degrees. What is a right scalene triangle? A scalene triangle is a triangle which has no two sides equal. So a right scalene triangle is a triangle with a right angle and with no two sides equal. An equilateral triangle can not be a right triangle.

This makes sense because the angle measures in any triangle , not only an equilateral triangle , equal degrees. In a right triangle , however, the 3 angles can NOT be congruent.

This is because in a right triangle , one angle equals 90 degrees. An isosceles triangle is a triangle that has at least two equal sides. So, for an isosceles triangle to be considered obtuse , it just has to be a triangle with two equal sides and an angle that is in between 90 degrees and degrees. An obtuse triangle is any triangle that contains an obtuse angle. Here are some examples : Both triangles are obtuse because they contain an angle greater than 90 degrees.

Classifying a triangle is as simple as comparing the sides. Equilateral triangle. The Equilateral triangle shown on the left has three congruent sides and three congruent angles.

Isosceles triangle. The Isosceles triangle shown on the left has two equal sides and two equal angles. Scalene Triangle. The Scalene Triangle has no congruent sides. Acute Triangle. Obtuse Triangle. A triangle where one of the internal angles is obtuse greater than 90 degrees. Try this Drag the orange dots on any vertex to reshape the triangle. While any angle exceeds 90 degrees, it is an obtuse triangle. An acute triangle has three angles that each measure less than 90 degrees.

An obtuse triangle is a triangle with one angle that is greater than 90 degrees. It is impossible to create an obtuse equilateral triangle. The word 'equilateral' means equal sides. An equilateral triangle is one that has three equal sides and, subsequently, three equal angles. The angles are each 60 degrees and, when added together, add up to degrees. An obtuse angle is an angle greater than 90 degrees and less than degrees. Thus, an equilateral triangle cannot have an obtuse angle because the angles must all be the same degrees and the sum of the angles cannot exceed degrees.

If an obtuse angle could be used in an equilateral triangle, this would mean that all the angles would be, at least, 90 degrees. In turn, it would mean that the sum of the angles far exceeds degrees, with the sum being a minimum of degrees. It's just not possible. Send Your Questions to Experts.