A triangular plot of land has sides 205 m, 195 m, and 120 m. Find the measure of the smallest angle.

A) 25.6°

B) 34.8°

C) 55.2°

D) 77.2°

Question

Mathematics

Victoria Ashley

14 September, 08:27

A triangular plot of land has sides 205 m, 195 m, and 120 m. Find the measure of the smallest angle.

A) 25.6°

B) 34.8°

C) 55.2°

D) 77.2°

+1

Answers (1)

Know the Answer?

Demarion Mendoza · Answer 1

Using Law's of Sine and with the given three sides of the of the triangle, we can solve for the smallest angle. The smallest angle is opposite of the smallest side. Solution is below:

a=120, b = 195 and c=205

cos A = (B²+C²-A²) / 2BC

A=inverse (195²+205²-120²/2*195*205)

A=inverse 0.8211

A=34.8°

Therefore, the answer is letter B which is 34.8°.

A triangular plot of land has sides 205 m, 195 m, and 120 m. Find the measure of the smallest angle.A) 25.6°B) 34.8°C) 55.2°D) 77.2°

A triangular plot of land has sides 205 m, 195 m, and 120 m. Find the measure of the smallest angle.

A) 25.6°

B) 34.8°

C) 55.2°

D) 77.2°