Pythagorean Theorem and Converse
Special Right Triangles
Trigonometry
Law of Sines and Cosines
EVERYTHING!!
100
A right triangle has leg lengths of 14 and 12. What is the length of the hypotenuse in simplest radical form?
2*sqrt(85)
100
In a 45-45-90 triangle, the leg length is 15. What is the hypotenuse length?
15*sqrt(2)
100
In the right triangle ABC: AB=20, AC=12, and CB=16. Write each trig ratio for angle A.
sinA = 4/5; cosA= 3/5; tanA = 4/3
100
If you need to solve for side b using Law of Cosines, what formula would you use?
b^2 = a^2 + c^2 - 2(a)(c)(cos(B))
100
What is the sum of the interior angles in a 13-gon?
1980 degrees
200
72, 90, and another number create a Pythagorean triple. What is the other number?
54
200
In a 30-60-90 triangle, the short leg is 7. What is the length of the long leg and hypotenuse?
LL: 7*sqrt(3); Hypotenuse: 14
200
In the right triangle ABC: AB=20, AC=12, and CB=16. Write each trig ratio for angle B.
sinB= 3/5; cosB = 4/5; tanB= 3/4
200
In triangle PRQ: angle R=60, side PQ=12, and angle Q=33. What is measure of PR?
PR = 7.55
200
What is the sum of the exterior angles of a 121-gon?
360 degrees
300
What type of triangle (acute, right, obtuse) is a triangle with side lengths 6, 7, 10?
Obtuse triangle
300
In a 45-45-90 triangle, the hypotenuse is 24. What is the length of each leg?
12*sqrt(2)
300
In triangle XYZ (Z is the right angle), XZ=12 and angle X=43. What is the length of the hypotenuse?
Hypotenuse: 16.41
300
In triangle UGH: angle G=35, side UG=5, and angle U=56. What is measure of GH?
GH = 4.15
300
A triangle has angle measures that are 2:3:5. What is the measure of the smallest angle?
36 degrees
400
A right isosceles triangle has a leg length of 15. What are the lengths of the leg and hypotenuse in simplified radical form?
Leg: 15; Hypotenuse : 15*sqrt(2)
400
In a 30-60-90 triangle, the hypotenuse length is 18. What are the lengths of the short leg and long leg?
SL: 9; LL: 9*sqrt(3)
400
In right triangle NMG (M is right angle), angle G=23 and NG=21. Find the length of MG.
MG = 19.33
400
In triangle WRT: side WR=7, angle W=42, and side WT=9. Find side RT.
RT = 6.03
400
Two angles that are supplementary have measures 15x+4 and 7x. What are their measures?
124 degrees and 56 degrees
500
If an acute triangle has side lengths 4, 6, and 2x (where 2x is the longest side), what are the possible values for x?
x < sqrt(13)
500
In a 30-60-90 triangle, the long leg length is 15. What are the short leg and hypotenuse lengths? Leave in simplified radical form.
SL: 5*sqrt(3); Hypotenuse: 10*sqrt(3)
500
In triangle TRE (angle R is the right angle), side TR=8 and side TE=13. What is the measure of angle E?
Angle E = 38
500
In triangle JKL: side JK=8, side JL=17, and side KL=14. Find angle K.
Angle K = 97.44
500
When Pythagoras born?
500 BC
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