do triangles add up to 360?
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This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. ... But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.
1396516
So the two base angles must add up to 180-40, or 140°. Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.
395525
Yes. Just think about it this way, if you have 1/4, you have a single fourth. If you multiply it by 3, you now have three of what you originally had, so 3/4, or three fourths. Or we can take a example of a circle.
1336503
Because at least one side of a 30°- 60°- 90° triangle must contain a square root, a 30°- 60°- 90° triangle cannot belong to any of the Pythagorean triple triangle families. ... There's no overlap between the 30°- 60°- 90° triangle and any of the Pythagorean triple triangles and their families.
1427898
If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent. This is why there is no Side Side Angle (SSA) and there is no Angle Side Side (ASS) postulate.
1199503
This will depend upon the size of the sides and the given angle. ASA i.e. when a side and any two angles are given, only one triangle can be formed. This is as if two angles are equal, third will always be equal as their sum is always 180∘ . RHS i.e. when in a right angle, hypotenuse and one side is given.
164921
The interior angles are always supplementary to the exterior angles, that is the two angles add up to 180 degrees. So in an equilateral pentagon 360/5 = 72 degrees, and 180–72 = 108 degrees. So each interior angle in an equiangular pentagon is 108 degrees.
181496
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.
1109072
1 Expert Answer An obtuse angle is greater than 90 degrees. So let's let one angle equal 60, another equal 91 and the last equal to 29 which all add up to 180. That's one triangle.
111751
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
1146542
If you are given one interior angle of an isosceles triangle you can find the other two. For example, We are given the angle at the apex as shown on the right of 40°. We know that the interior angles of all triangles add to 180°. So the two base angles must add up to 180-40, or 140°.
1273951
No. For triangles to be similar all 3 sets of corresponding angles must be congruent. In an acute angle all three angles must be acute.
1136720
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
605612
The two base angles are equal to each other. So say you have an isosceles triangle, where only two sides of that triangle are equal to each other. And then you have 36 degrees as one of your base angles. The other base angle will equal 36 degrees too.
895412
Corresponding angles are equal. ... a and b are adjacent angles. Adjacent angles add up to 180 degrees.
1019614
An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral. ... Note: It is possible for a right triangle to also be scalene or isosceles. An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle).
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In the case of a triangle, a common way to calculate its area is 'half of base times height' where the 'height' is the altitude, or the perpendicular distance from the base to the opposite vertex. ... Choose any convenient side to be the base. In an isosceles triangle, the base is usually taken to be the unequal side.