# Magnitudes 64704

The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '.

### Correct answer:

Tips for related online calculators

Are you looking for help with calculating roots of a quadratic equation?

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

Our percentage calculator will help you quickly calculate various typical tasks with percentages.

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

Do you know the volume and unit volume, and want to convert volume units?

Do you want to convert time units like minutes to seconds?

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

Our percentage calculator will help you quickly calculate various typical tasks with percentages.

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

Do you know the volume and unit volume, and want to convert volume units?

Do you want to convert time units like minutes to seconds?

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

#### You need to know the following knowledge to solve this word math problem:

**algebra**- quadratic equation
- equation
**arithmetic**- square root
**planimetrics**- triangle
- The Law of Cosines
- The Law of Sines
**basic functions**- percentages
**numbers**- fractions
**goniometry and trigonometry**- sine
- cosine

#### Units of physical quantities:

#### Grade of the word problem:

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

## Related math problems and questions:

- In triangle

In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. - The triangles

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 '. - Magnitudes 24271

In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20 ° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle. - Calculate 6678

You know the size of the two interior angles of the triangle alpha = 40 ° beta = 60 °. Calculate the size of the third interior angle. - Right triangle trigonometrics

Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Area and two angles

Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°. - Similarity coefficient

The triangles ABC and A "B" C "are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A "B" C ". - Right triangle

Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'. - Triangle from median

Calculate the perimeter, area, and magnitudes of the triangle ABC's remaining angles, given: a = 8.4; β = 105° 35 '; and median ta = 12.5. - Angles and sides of the triangle

Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of their size. ... - One-quarter 13953

Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma. - Calculate

Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm. - Magnitude 29891

The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle? - Calculate 8059

Calculate the magnitude of the third interior angle in triangle ABC when alpha = 30 °, beta = 60 ° - Triangles

Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3' - Magnitudes 3304

In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle. - MO Z7–I–6 2021

In triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE, and CBD are 30°, 60°, 20°, and 30°, respectively. Find the size of the AED angle.