The angles ratio

The angles in the ABC triangle are in the ratio 1: 2: 3. find the sizes of the angles and determine what kind of a triangle it is.

Correct answer:

A =  30 °
B =  60 °
C =  90 °

Step-by-step explanation:

A:B:C=1:2:3  d=180/(1+2+3)=30 °  A=1 d=1 30=30°
B=2 d=2 30=60°
C=3 d=3 30=90°

Try calculation via our triangle calculator.




Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • The dough
    cesto The dough contains water, flour, and sugar. Water and flour in a ratio of 2: 3, flour and sugar in a 2: 1. Find the ratio of all three components of the dough.
  • Interior angles
    triangles Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.
  • The two
    triangle The two angles of a triangle are 78° and 82°. So what is the measure of the remaining third angle?
  • Find unknown 2
    fractions Find unknown denominator: 2/3 -5/? = 1/4
  • Triangle angles
    triangles The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate size of angles.
  • Two numbers and its product
    ratios The product of two numbers are 2/3. If on of them is 1/10, what is the other?
  • Ratio three numbers
    suv Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
  • Gamma angle
    triangle1 Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56 ’and β = 47° 54’.
  • 3-bracket 3
    triangle Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
  • The triangles
    triangle_rt_taznice The triangles ABC and A'B'C 'are similar with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35°, beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '.
  • Two angles
    rt_1 The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
  • The ratio
    skola The ratio of girls to boys in Mrs. White's class is 3:2.  If there are 12 boys, how many girls are in the class room?
  • Angles ratio
    triangles The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
  • Evaluate expr with 2 vars
    expr If a=6 and x=2, find the value of (2ax + 7x- 10) /(4ax-3a-2)
  • The perimeter 3
    rectangles The perimeter of a rectangle is 35 cm. The ratio of the length to its width is 3:2. Calculate the dimensions of the rectangle
  • Is right triangle
    rt One angle of the triangle is 36° and the remaining two are in the ratio 3:5. Determine whether triangle is a rectangular triangle.
  • Orchard
    tree 3/5 of the trees in the orchard are apples, 1/3 are cherries and the remaining five trees are pear. How many trees are in the orchard?