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.

Answer 1

-------------------------------------------------------------------
Formula:
-------------------------------------------------------------------
Area of triangle = 1/2 ab sin c

-------------------------------------------------------------------
Find area
-------------------------------------------------------------------
Area of triangle = 1/2 (13) (7.5) sin (94)
Area of triangle = 48.6 in² (nearest tenth)

-------------------------------------------------------------------
Answer: Area of triangle = 48.6 in²
-------------------------------------------------------------------

Answer 2

The area of the triangle is 48.6 square inches.

Explanation:

The area of a triangle ABC is given by

`A=(1)/(2)ab\sin C`

a = 7.5 inches

b = 13 inches

C = 94 °

Plugging these values in the above formula to find the area of the triangle

`A=(1)/(2)(7.5)(13)\sin 94`

On simplifying, we get

`A=48.6312`

Rounded to the nearest tenth

`A=48.6`

The area of the triangle is 48.6 square inches.