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Pythagorean Theorem
Special Right Triangles
TrigonometryAngle of
Elevation & Depression
Law of SinesLaw of
Cosines
$100 $100 $100 $100 $100 $100
$200 $200 $200 $200 $200 $200
$300 $300 $300 $300 $300 $300
$400 $400 $400 $400 $400 $400
$500 $500 $500 $500 $500 $500
Final Jeopardy
Right Triangles
Final Jeopardy
54.64 in
A rectangle has a diagonal 20 inches long that forms angles of 30° and 60° with the
sides. Find the perimeter of the rectangle. Round to the nearest hundredth.
Jeopardy Sound File
Determine whether the following sides will form a right triangle.
24 in, 32 in, 40 in
$100
Pythagorean Theorem
Yes; 242 + 322 = 402
√137 OR 11.7
$200
Pythagorean Theorem
Find the value of x. Round to the nearest tenth.
$300
No; 202 + 212 ≠ 282
Pythagorean Theorem
$400
65 miles apart
Pythagorean Theorem
$500
30 feet
Pythagorean Theorem
$100
150√2
Special Right Triangles
$200
3√2 or 4.24
Find the value of x. Round to the nearest hundredth.
Special Right Triangles
$300
20 feet
Special Right Triangles
$400
6√3
Special Right Triangles
The perimeter of an equilateral triangle is 36 cm. What would be the length of
the altitude?
$500
23.15 or 5 root 2+12+5root 6 divided by 3
Special Right Triangles
$100
14.6
Trigonometry
Find the value of x. Round to the nearest tenth.
$200
18.1
Trigonometry
Find the value of x. Round to the nearest tenth.
$300
15.5 ftTrigonometry
$400
24.2
Trigonometry
Find the value of x. Round to the nearest tenth.
$500
31.2 m
Trigonometry
$100
347.3 m
Angles of Elevation & Depression
$200
41,027.5 ft
Angles of Elevation & Depression
$300
21 ft
Angles of Elevation & Depression
$400
21.8°
Angles of Elevation & Depression
An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?
$500
24.4 ft
Angles of Elevation & Depression
A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35. The lamppost is 14ft tall. How far away is the observer from the bird?
$100
4.7
Law of Sines
In ΔSTU, <U=37°, <T=17°, t = 2.3. Find the length of u.
$200
3.7
Law of Sines
In ΔEFG, <G=14°, <E=67°, e = 14. Find the length of g.
$300
31.5°
Law of Sines
In ΔSTU, <T=85°, s=4.3, t = 8.2. Find the m<S.
$400
10.4°
Law of Sines
In ΔABC, a = 40, c = 12, <A=37°. Find the m<C.
$500
91.8 m
Law of Sines
$100
8.4cm
Law of Cosines
In ΔJKL, j=9.6cm, l = 1.7 cm, & <K=43°. Find the length of k.
$200
10 cm
Law of Cosines
In ΔJKL, j = 11cm, k = 7 cm, & <L=63°. Find the length of l.
$300
44.2°
Law of Cosines
In ΔMNQ, m=24cm, n = 28 cm, & q=34 cm. Find m<M
$400
30.7
Law of Cosines
Find the length of c.
$500
14.5 ftLaw of Cosines
