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. Invalid OTP! Resend OTP? 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. A right triangle is a triangle with one 90 degree angle.
The Pythagorean Inequality is a generalization of the Pythagorean Theorem , which states that in a right triangle with sides of length we have. This Inequality extends this to obtuse and acute triangles. The inequality says: For an acute triangle with sides of length ,.
For an obtuse triangle with sides ,. In other words, each angle of an acute triangle is less than 90 degrees. In each triangle , there are three triangle altitudes , one from each vertex. In an acute triangle , all altitudes lie within the triangle.
In a right triangle , the altitude for two of the vertices are the sides of the triangle. In an obtuse triangle , the altitude from the largest angle is outside of the triangle. Right angle. Obtuse angle. Straight angle. Reflex angle. Acute angles measure less than 90 degrees.
Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees. How do you draw an obtuse triangle? So, both the angles other than right angle are equal. Both the internal angles opposite to external angle are equal because it is an isosceles triangle. Answer: v In this case, half of x can be calculated by using 37 as hypotenuse and 12 as perpendicular of one of the two right angled triangles in the figure. Answer: Example 3: Will an altitude always lie in the interior of a triangle?
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