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The triangle with angles measuring 40, 50, and 90 degrees is a right triangle. In a right triangle, one of the angles is always 90 degrees, making it a right-angled triangle. The other two angles are acute angles, measuring less than 90 degrees each. The sum of the interior angles of any triangle is always 180 degrees.
Since a right triangle has 180 degree angles in it, you know 2 angles already. One is the 90 degree angle, since the triangle is a right one. The other is 40 degrees, as in your statement. 90 plus 40 is 130. 50 degrees is the missing angle since 50 + 40+ 90 equal 180 degrees. Hopefully that helped you.
Oh, what a happy little question! Unfortunately, those angles wouldn't make an equilateral triangle, but don't worry, mistakes are just happy accidents in the world of geometry. You'll find the right angles to create a beautiful equilateral triangle with all sides and angles equal in no time. Just keep on painting and exploring, my friend.
An obtuse angled triangle.
An obtuse angled isosceles triangle.
The triangle with angles measuring 40, 50, and 90 degrees is a right triangle. In a right triangle, one of the angles is always 90 degrees, making it a right-angled triangle. The other two angles are acute angles, measuring less than 90 degrees each. The sum of the interior angles of any triangle is always 180 degrees.
40 degrees ! The internal angles of any triangle always total 180 degrees. Since you already know two angles (50 & 90) - the difference is 40.
The other acute angle in that triangle is 40 degrees.
Scalene
A triangle with angles that measure 30, 60, and 90 degrees is a special type of right triangle known as a 30-60-90 triangle. In this triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle. This relationship is based on the properties of trigonometry and the ratios of the sides in a 30-60-90 triangle.
Yes an isosceles triangle can have two equal acute base angles of 40 degrees and an apex angle of 100 degrees
No. A triangle has 180 degrees, those only add up to 172. A right triangle has 1 right angle (an angle that is 90 degrees). The other 2 angles can be whatever combination of angles as long as they add up to 90 (such as 45 and 45) since a triangle has 180 degrees.
Since a right triangle has 180 degree angles in it, you know 2 angles already. One is the 90 degree angle, since the triangle is a right one. The other is 40 degrees, as in your statement. 90 plus 40 is 130. 50 degrees is the missing angle since 50 + 40+ 90 equal 180 degrees. Hopefully that helped you.
An isosceles triangle has two equal side and angle measurements.
Oh, what a happy little question! Unfortunately, those angles wouldn't make an equilateral triangle, but don't worry, mistakes are just happy accidents in the world of geometry. You'll find the right angles to create a beautiful equilateral triangle with all sides and angles equal in no time. Just keep on painting and exploring, my friend.
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
The sum of the angles is 180 degrees in any triangle. So 180-140 is 40 and the third angle is 40 degrees.