Question

The following problems refer to triangle ABC. Solve it and round to the nearest degree.

a = 4.7,b= 7.34 , c = 4.26
=
A=
O
o
B=
o
C=

Answer 1

A = 37.0°

A = 37.0°B = 109.9⁰

A = 37.0°B = 109.9⁰C = 33.1°

Explanation:

Triangle solvers are available for phone or tablet, and on the internet. Obviously, you have no issue with using technology to find your answer. Here it is using appropriate technology.

A = 37.0⁰B = 109.9⁰C = 33.1°If you're solving this by hand, it usually works best to use the Law of Cosines to find the largest angle:

B = arccos((a² +c²-b²)/(2ac)) = arccos(-13.638/40.044) = 109.912

°

Then the another angle can be found using the Law of Sines.

C = arcsin(c/b-sin(B)) = arcsin(4.26/7.34-sin(109.912°)) = 33.071°

The remaining angle will bring the total to 180°

.A = 180° -109.912° -33.071° = 37.017°

Answer 2

A ≈ 37.0°

B ≈ 109.9°

C ≈ 33.1°

Step-by-step explanation:

Triangle solvers are available for phone or tablet, and on the internet. Obviously, you have no issue with using technology to find your answer. Here it is using appropriate technology.

A ≈ 37.0°

B ≈ 109.9°

C ≈ 33.1°

__

If you're solving this by hand, it usually works best to use the Law of Cosines to find the largest angle:

B = arccos((a² +c² -b²)/(2ac)) = arccos(-13.638/40.044) ≈ 109.912°

Then the another angle can be found using the Law of Sines.

C = arcsin(c/b·sin(B)) = arcsin(4.26/7.34·sin(109.912°)) ≈ 33.071°

The remaining angle will bring the total to 180°.

A = 180° -109.912° -33.071° = 37.017°