Solving for we get. Classify the triangle as equilateral isosceles or scalene.

Isosceles Obtuse Triangle Isosceles Triangle Obtuse Triangle Triangle

An obtuse triangle may be isosceles or scalene.

Can an obtuse triangle be isosceles. In an acute triangle all angles are less than right angleseach one is less than 90 degrees. Angle Y is a right angle. Triangle XYZ is isosceles.

O and I are the circumcenter and incenter of the triangle respectively. See full answer below. In an obtuse triangle one angle is greater than a right angleit is more than 90 degrees.

Hence they are called obtuse-angled triangle or simply obtuse triangle. A triangle cannot be right-angled and obtuse angled at the same time. The angle opposite to the obtuse angle is the longest side of the triangle.

Based on the description of this question you can draw your triangle as such. That situation can occur in. Since an equilateral triangle has equal sides and angles each angle measures 60 which is acute.

Given an isosceles triangle with equal sides of length b and base angle A. The definitions of each of these types of triangles are as follows. An obtuse triangle may be an isosceles or scalene triangle.

Therefore an equilateral angle can never be obtuse-angled. So we conclude that the isosceles Obtuse Triangle can be formed. An equilateral triangle can never be obtuse.

An obtuse triangle is a type of triangle where one of the vertex angles is greater than 90 The triangles above have one angle greater than 90. An obtuse angle is an angle greater than 90 and an acute angle is an angle less than 90. Yes an obtuse triangle can be isosceles.

An isosceles triangle can be considered obtuse if. An obtuse-angled triangle can be scalene or isosceles but never equilateral. An obtuse triangle is any triangle with two acute angles and one obtuse angle.

The measure of angle Z is 45. We can do this thanks to the nature of an isosceles triangle. An isosceles triangle is a triangle that has at least two equal sides.

It wouldnt be an obtuse triangle because in an obtuse triangle there is at least one obtuse angle and the other 2 angles would be either acute right or obtuse. The single angle is 90 deg the two equal angles are 45 deg the circumcentre lies outside the triangle two equal altitudes fall outside the triangle and one falls within the triangle the altitude from the single angle is less than the equal altitudes from the other two angles. The measure of angle X is 36.

The measure of the vertex angle is 72. An obtuse triangle is a triangle that has one obtuse angle meaning an angle that is greater than 90 degrees but less than 180 degrees. Can an isosceles triangle be a scalene.

So for our data we can say. The perpendicular bisector of creates two smaller isosceles. Now you know that the area of a triangle is defined as.

An obtuse triangle is a triangle with. An equilateral triangle cannot be obtuse. In an acute triangle all angles are less than right angleseach one is less than 90 degrees.

Since a right-angled triangle has one right angle the other two angles are acute. Now for our little triangle on the right we can draw. Also classify the triangle as acute right or obtuse.

Click to see full answer. What is true about triangle XYZ. Asked Sep 5 2019 in Mathematics by Avannah.

Yes it is true that an isosceles triangle can be acute or obtuse. As long as a triangle has two equal angles and two equal sides it is isosceles. An obtuse triangle may be isosceles or scalene.

An Obtuse triangle can be either Scalene with all three sides different lengths or Isosceles with two equal sides. It could be an isosceles triangle but that wouldnt make sense since its already an isosceles triangle. The measure of the vertex angle Y is twice the measure of a base angle.