Law of Sines, Law of Cosines & Area of Oblique Triangles

Front

What is the Law of Sines?

Back

Front

When can the Law of Sines be used?

Back

The Law of Sines can be used in cases of SSA (Side-Side-Angle), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side) configurations.

Front

What is the Law of Cosines?

Back

Front

When is the Law of Cosines applicable?

Back

The Law of Cosines is applicable in cases of SAS (Side-Angle-Side) and SSS (Side-Side-Side) configurations.

Front

What is Heron's formula for the area of a triangle?

Back

Front

Calculate the area of a triangle with sides 29 in, 25 in, and 27 in using Heron's formula.

Back

Area = 312.2 sq in.

Front

Calculate the area of a triangle with sides 9 cm, 11 cm, and 16 cm using Heron's formula.

Back

Area = 47.6 sq cm.

Front

What is the semi-perimeter of a triangle with sides 10 cm, 14 cm, and 16 cm?

Back

Front

If two angles of a triangle are 30° and 60°, what is the third angle?

Back

The third angle is 90° (since the sum of angles in a triangle is 180°).

Front

What is the area of a triangle with base 10 cm and height 5 cm?

Back