Given that in a triangle ABC, angle a = angle B, 1 / 4 angle c = angle a, find the degree of each angle in the triangle

Given that in a triangle ABC, angle a = angle B, 1 / 4 angle c = angle a, find the degree of each angle in the triangle

Let angle a = x degree, then angle B = x degree, 1 / 4 angle c = angle a, so angle c = 4x degree
x+x+4x=180
x=30
If angle a = 30 degrees, then angle B = 30 degrees, angle c = 30 * 3 = 120 degrees

In triangle ABC, if angle a = 1 / 2, angle B = 1 / 6 angle c, how many degrees are angles a, B and C equal to? It's better to write it in the format because of all,

Because the sum of the internal angles of the triangle is 180, and the angle a = 1 / 2, B = 1 / 6, C
So angle B = 2 angle a, angle c = 6 angle a,
So angle a + 2 angle a + 6 angle a = 180,
So angle a = 20 degrees,
Angle B = 40 degrees,
Angle c = 120 degrees

In the triangle ABC. Angle a to angle B to angle c equals 1 to 2 to 3. A equals 2. What is B equal to?

Double root 3

In the triangle ABC, known a = 5, B = 2, C = root 19, find the size and area of each angle of the triangle ABC If the question. Will add points - 0- That number doesn't work out=

Are you in high school? Have you learned cosine theorem? Use cosine theorem to find 3 angles, and the area is s = 1 / 2 a.b.sinc. As for the convenience of you to try it yourself, this is a very basic problem. If you can't work out the angle by yourself, you can express it with inverse triangle

In the triangle ABC, if the angle B = 30 degrees, C = 2 times the root 3, B = 2, find the area of the triangle!

Make ad perpendicular to BC and D
AD=√3,CD=1,BD=√(12-3)=3
BC=4
There are two possibilities:
1）AD=√3,BC=4
S=0.5*4*√3=2√3
2)BD=1,BC=3-1=2
S=2*√3/2=√3

Let a, B, C be the three sides of the triangle ABC with an area of 12 3, BC = 48, B-C = 2, then a =___ .

In ∵ ABC, BC = 48, s △ ABC = 1
2bcsinA=12
3，
∴sinA=
Three
2，
∴A=π
3 or a = 2 π
3，
from
b-c=2
BC = 48, C = 6, B = 8
When a = π
According to the cosine theorem A2 = B2 + c2-2bccosa = 64 + 36-96 × 1
2=52，
∴a=2
13，
When a = 2 π
In the same way, a = 2
37．
So the answer is: 2
37 or 2
13．

If angle a = angle B = 1 / 5 angle c, then triangle ABC is______ triangle

Do you know? This solution is (obtuse angle isosceles triangle) solution process: angle a equals angle B equals 1 / 5 angle c, angle c is the largest, the sum of triangles is 180 degrees, and the unknown equivalent is x, x + X + 5x = 180. X = 25.71. A = b = 25.71. C = 128.55

In triangle ABC, angle a = 2, angle B = 4 angle C

∠A=2∠B=4∠C
∠B=1/2∠A
∠C=1/4∠A
∠A+∠B+∠C=180°
∠A+1/2∠A+1/4∠A=180°
∠A=720/7
∠B=720/14=360/7
∠C=720/28=180/7

In △ ABC, ∠ A is the smallest angle, ∠ B is the largest angle, and ∠ B = 4 ∠ a, then the value range of ∠ B is______ .

∵ A is the smallest angle,  B is the largest angle, and  B = 4 ∠ a,
∴∠A=1
4∠B，∠C=180°-∠A-∠B=180°-1
4∠B-∠B=180°-5
4∠B，
∵∠A≤∠C≤∠B，
∴1
4∠B≤180°-5
4∠B≤∠B，
∴3
2∠B≤180°，9
4∠B≥180°，
∴80°≤∠B≤120°．
Therefore, the answer is: 80 °≤∠ B ≤ 120 °

In triangle ABC, angle a = angle B = 4 angle c, find angle C

4c+4c+c=180
C = 20 degrees