Using Trigonometry to Find Area

Name:

Jack is planting a triangular rose garden. The lengths of two sides of the plot are 8 feet and 12 feet, and the angle between them is 87°. Which expression could be used to find the area of this garden?

a)		c)
b)		d)

If the vertex angle of an isosceles triangle measures 30º and each leg measures 4, the area of the triangle is

a)		c)
b)	8	d)	4

The vertex angle of isosceles triangle ABC measures 30º, and each leg has length 20. What is the area of

a)	100	c)
b)		d)	200

, and

. The area of

a)	1	c)
b)	2	d)	4

, side a is twice as long as side b and

. In terms of b, the area of

a)		c)
b)		d)

The sides of a triangle measure 6 and 8, and the measure of the included angle is 150º. The area of the triangle is

a)		c)
b)	24	d)	12

, and

, what is the area of

a)	15	c)
b)	30	d)

In isosceles triangle ABC,

, and

. The area of the triangle is

a)		c)
b)		d)

, and

. What is the area of

a)	18	c)
b)	36	d)

and

. If the area of the triangle is 12, what is the length of side b?

a)	6	c)	3
b)	8	d)	4