Question

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

The hypotenuse is 12 cm the adjacent is 8 cm and the number inside the triangle is 65 degrees

Answer 1

Use the formula A = (1/2)ab sin(C) for two sides a, b with included angle C. Here a = 12, b = 8, C = 65°:

A = (1/2)(12)(8) sin 65° = 48 sin 65° ≈ 48(0.9063078) ≈ 43.5

Answer: 43.5 cm²