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In △ ABC, ∠ a = 1 / 3 ∠ B = 1 / 5 ∠ C, calculate the degree of each internal angle of a triangle
Because ∠ a = 1 / 3 ∠ B = 1 / 5 ∠ C
So ∠ B = 3 ∠ a ∠ C = 5 ∠ a
∠A+∠B+∠C=∠A+3∠A+5∠A=180°
I.e. 9 ∠ a = 180 °∠ a = 20 °
∠B=3∠A=3*20°=60° ∠C=5∠A=5*20°=100°
For a triangle, one of its internal angles accounts for 1 / 6 of the sum of its internal angles. The remaining two angles are allocated according to the remaining degrees of 2:3. What triangle is this triangle?
One sixth of the sum of inner angles is 180 × 1 / 6 = 30 ° and the other is 150 × 2 / 5 = 60 ° and 150 × 3 / 5 = 90 °
For a triangle, one of its internal angles accounts for 1 / 6 of the sum of the internal angles. The remaining two angles are allocated according to the remaining degrees of 2:3. What kind of triangle is this triangle dainty pastries
180*1/6=30
150*[2/(2+3)]=90
150*[3/(2+3)]=60
So this is a right triangle
A triangle whose inner angle accounts for 1% of the sum of the inner angles 6. The other two angles are divided according to the remaining degrees of 2:3. What triangle is this triangle?
180×1
6=30°，
180°-30°=150°，
150°×2
2+3=60°，
150°×3
2+3=90°，
Answer: the triangle is a right triangle
If the ratio of the three outer angles of a triangle is 2:3:4, then the degree of the largest inner angle of the triangle is______ .
Let the degrees of the three external angles be 2K °, 3K ° and 4K ° respectively
According to the theorem of sum of exterior angles of triangles, 2K ° + 3K ° + 4K ° = 360 ° and K = 40,
So the minimum external angle is 2K = 80,
Therefore, the maximum internal angle is 180 ° - 80 ° = 100 °
So the answer is: 100 degrees
If the ratio of the three inner angle degrees of a triangle is 2:3:4, then the corresponding external angle ratio is______ .
If one angle is 2x degrees, then the other two angles are 3x degrees and 4x degrees respectively
2x+3x+4x=180，
The solution is x = 20,
So the three angles are: 40 degrees, 60 degrees, 80 degrees
Then the corresponding external angle degrees are 140 degrees, 120 degrees and 100 degrees, and the corresponding external angle ratio is 7:6:5
If the ratio of the three inner angle degrees of a triangle is 2:3:4, then the corresponding external angle ratio is______ .
If one angle is 2x degrees, then the other two angles are 3x degrees and 4x degrees respectively
2x+3x+4x=180，
The solution is x = 20,
So the three angles are: 40 degrees, 60 degrees, 80 degrees
Then the corresponding external angle degrees are 140 degrees, 120 degrees and 100 degrees, and the corresponding external angle ratio is 7:6:5
If the degree ratio of the three outer angles of a triangle is 2:3:1, then its maximum internal angle degree is? I always think this problem is wrong
Yes, the solution is as follows:
The degree ratio of the three outer angles of the triangle is 2:3:1
Let them be 2a, 3a, a (degree)
The sum of the external angles of the triangle is 306 degrees
So 2A + 3A + a = 360, a = 60 degrees
So the three outer angles are 120, 180, 60,
There's something wrong with 180 degrees. An outside angle can't be a flat angle
If the ratio of the degrees of the three outer angles of a triangle is 2:3:4, then the ratio of the degrees of the corresponding three inner angles is () A. 5：3：1 B. 3：2：4 C. 4：3：2 D. 3：1：5
If one part is k °, then the degrees of the three outer angles are 2K °, 3K ° and 4K ° respectively. According to the sum theorem of the external angles of triangles, we can know that 2K ° + 3K ° + 4K ° = 360 ° and K ° = 40 ° respectively, and the three external angles are 80 °, 120 ° and 160 ° respectively
The ratio of the three inner angles of a triangle is 2:9:4. What kind of triangle is this? What is the largest internal angle?
180°/(2+9+4)=12°
The degrees of the three internal angles are 12 ° * 2:12 ° * 9:12 ° * 4 = 24 °: 108 °: 48 °
So it's an obtuse triangle, and the maximum internal angle is 108 degrees
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