What type of obtuse triangle is shown in the figure?Īnswer: It is an obtuse scalene triangle as none of its sides are equal. Triangle shape different type triangle right isosceles obtuse acute Scalene.Will the following set of angles form an obtuse triangle?Īnswer: Yes, these angles will form an obtuse-angled triangle, as 95 degrees is an obtuse angle and the sum of the angles(95 + 30 + 55) is 180 degrees.An obtuse triangle can either be an isosceles or scalene. No, the given figure is not an obtuse triangle as all the angles are less than 90°. The longest side of an obtuse triangle is always opposite the obtuse angle vertex.
Is the following picture an example of an obtuse triangle? The product of the lengths of the two congruent sides of an obtuse isosceles triangle is equal to the product of the base and twice the triangles height to.Scalene obtuse triangle: All sides are unequal in this type of obtuse triangle.Isosceles obtuse triangle: Here, two sides of the triangle have equal lengths.An obtuse triangle is one in which one of the angles lies between 90 degrees and 180 degrees and the other two angles are acute (less than 90). And the two sides opposite to those equal angles are also equal in length. The side opposite the obtuse angle in the triangle is the longest. An isosceles triangle is one in which any two angles of the triangle are equal in measurement.Therefore, an obtuse-angled triangle can never have a right angle and vice versa. Since a right-angled triangle has one right angle, the other two angles are acute. A triangle cannot be right-angled and obtuse-angled at the same time.Therefore, an equilateral angle can never be obtuse-angled. A triangle is said to be an obtuse isosceles triangle if apart from two sides being equal, one of the angles of the triangle is an obtuse angle, i.e. Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. An equilateral triangle can never be obtuse.The isosceles triangle can be acute if the two angles opposite the legs are equal and are less than 90 degrees (acute angle). Depending on the angle between the two legs, the isosceles triangle is classified as acute, right and obtuse. Therefore, this is not an obtuse triangle. All the isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. In the above examples, we can clearly see that the triangle shapes do not have an angle greater than 90°.
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