Question

Solve the triangle if b=78° and a=41. Round to nearest 10th.

a. A = 61.3°, B = 78°, C = 40.7°

b. A = 78°, B = 41°, C = 61°

c. A = 61.7°, B = 78°, C = 40.3°

d. A = 40.3°, B = 78°, C = 61.7°"

Answer 1

To solve the triangle with angles b=78° and a=41, we determine the third angle by subtracting the known angles from 180°, finding that C = 61°. So the correct answer is A = 61°, B = 78°, C = 41°.

Step-by-step explanation:

To solve the triangle with the given angles b=78° and a=41, we start by realizing that the sum of the angles in any triangle is 180°. We can find the third angle using this fact:

A + B + C = 180°

Let's call the unknown angle 'C'. Plugging in the known angles:

78° + 41 + C = 180°

Solving for angle 'C':

C = 180° - 78° - 41°

C = 61°

Rounding angle 'C' to the nearest tenth, we get C = 61° (since it is already an integer, rounding doesn't change its value). So the correct answer is A = 61°, B = 78°, and C = 41°.