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Find the measures of the angles of a triangle if the measures of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12?
Let the second angle of the triangle be A. Then angle 1 = 2A : and angle 3 = 3A - 12 The internal angles of a triangle total 180° therefore :- 2A + A + (3A - 12) = 180 6A - 12 = 180 : 6A = 192 : A = 32 The angles measure 64° , 32° and 84° .
In triangle ABC angle B is three times angle A and angle angle C is one degree less than six times angle A find the angles?
A = 18.1 degrees B = 54.3 degrees C = 107.6 degrees
What is triangle that has angles that measure 30 60 90 degrees?
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.
Two angles are complementary One angle has a measure that is five times the measure of the other angle What is the measure in degrees of the larger angle?
Complementary angles are angles that add up to 90 degrees. If the smaller angle is x, the larger is 5x, so 6x = 90. X equals 15, and the larger angle measures 75 degrees.
Why do the exterior angles of a triangle add up to 360 degrees?
They don't. The interior angles of a triangle add up to 180°. The complements of each of these angles adds up to 360°. So 3 times 360 minus 180 = 900. This is your answer.
If the vertex angle is three times a base angle What are the angles of an isosceles triangle?
108+36+36 = 180 degrees
What is the measure of the vertex angle of an isosceles triangle if one of the base angles measures Y degrees?
Both base angles of an Isosceles triangle are by definition the same and, as the internal angles of a triangle must ad up to 180 degrees (again by definition), the the 3rd angle must = 180 - 2 times Y,
Find the measures of the angles of a triangle if the measures of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12?
Let the second angle of the triangle be A. Then angle 1 = 2A : and angle 3 = 3A - 12 The internal angles of a triangle total 180° therefore :- 2A + A + (3A - 12) = 180 6A - 12 = 180 : 6A = 192 : A = 32 The angles measure 64° , 32° and 84° .
What is the measure of the smaller acute angle in a right triangle if one of the angle is 4 times the other?
Since the angles of a triangle add up to 180°, if one of the angles is a right angle (definition of a right triangle) then the sum of the other two will be 90°. If we designate the measure of the smaller acute angle as "x" then the other angle will be "4x" and: x + 4x = 90° so 5x= 90° and x = 18°
In triangle ABC angle B is three times angle A and angle angle C is one degree less than six times angle A find the angles?
A = 18.1 degrees B = 54.3 degrees C = 107.6 degrees
What is triangle that has angles that measure 30 60 90 degrees?
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.
Can a triangle have 2 obtuse?
An obtuse angle = an angle greater than 90 degrees. 2 times (more than 90 degrees) = (more than 180 degrees). But the sum of all 3 interior angles of any triangle is always exactly 180 degrees. So: No triangle can have two obtuse angles.
Is there a right triangle in an equiangular triangle?
No there is not. A right triangle has to have an angle of 90 degrees. An equiangular triangle has 3 equal angles. If a right triangle was equiangular, it would be 90 times 3 equaling 270 degrees. There are only 180 degrees in a triangle.
In triangle ABC angle B is 5 times angle A and angle C is 8 less than 4 times angle A what is the size of angle A?
B = 5A C = 4A - 8 The sum of the angles of a triangle = 180° A + B + C = 180 A + 5A + (4A - 8) = 180 10A = 188 A = 18.8° (and therefore B = 94° and C = 67.2°)
Could a right triangle ever be an equilateral triangle?
No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
How do you find the sum of the measures of the angles of a triangle?
(number of sides) - (2) times (180) = sum of interior angle measurements so for a triangle it is 3-2 which is 1 times 180 = 180, so the answer is 180 degrees
How do you find sides of right triangle given only the hypotenuse and all angles?
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
