|
Using the triangle area formula involving trig (or parallelogram
area formula), try these practice
problems. On your own paper, draw the diagram, label sides and
angles, and find the requested piece of information. Click on the
Answer link to check your work.
| 2. |
In an isosceles
 ,
the two equal sides each measure 24 meters, and they
include an angle of 30º. Find the area of the
isosceles triangle, to the nearest sq. meter. |
Answer |
|
| 3. |
In
ABC,
AB = 12 meters and AC = 20 meters.
If the area of the triangle is 77 sq. meters, find
the measure of <A, to the nearest degree. |
Answer |
|
| 4. |
In a
rhombus, each side is 15, and one angle is 130º.
Find the area of the rhombus, to the nearest square
unit. |
Answer |
|
| 5. |
A farmer has a triangular field where two sides measure
450 yards and 320 yards. The angle between these two sides
measures 80º. The farmer wishes to use an insecticide that
costs $4.50 per 100 sq. yards or any part of 100 yds. What
will it cost to use this insecticide on this field? |
Answer |
|
| 6. |
A triangle
has two sides of 30 meters and 26 meters, and the angle
between them is an obtuse angle. If the area of
the triangle is 300 sq. meters, find the measure of the
obtuse angle (to the nearest degree.) |
Answer |
|
| 7. |
Samuel has decided to use stamped concrete for his
backyard patio. He has chosen to make his
design out of parallelograms and has designed the
parallelogram pattern shown below.
Find the area of Samuel's design, to the nearest tenth of
a square foot.
 |
Answer |
|
| 8. |
The Art
Guild is painting a mural in the shape of an
isosceles triangle on their building at the State
Fair. The equal sides of the triangle will
each be 12 yards in length, and the area of the
triangular mural will be 55 square yards. Find
the measure of the three angles of the triangle, to
the nearest hundredth of a degree. |
Answer |
|
|
