Question

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

70.5 square units

111.3 square units

185.4 square units

222.5 square units

Answer 1

111.3 square units according to e2020

Answer 2

ANSWER

111.3 square units.

Step-by-step explanation

The formula for calculating the area of a triangle is.


`Area = (1)/(2) * base * height`
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.


`\sin(68 \degree) = (height)/(20 )`


`height = 20 \sin(68 \degree)`


`height = 18.54`

We now plug in the values in to the formula to obtain,


`Area = (1)/(2) * 12 * 18.54`


`Area = 111.3 \: square \: units`

See graph