Pythagorean Theorem
Special Right Triangles
SOH CAH TOA
Solving Right Triangles
Random
100
What is the Pythagorean Theorem?
a2 + b2 = c2
100
Draw the 45/45/90 triangle, include all angles and sides.
100
What does SOH CAH TOA stand for?
Sine/Opposite/Hypotenuse
Cosine/Adjacent/Hypotenuse
Tangent/Opposite/Adjacent
100
Determine which of the two acute angles has a cosine of 4/5.
cos C = 4/5
100
How do you know if a set of numbers is a Pythagorean Triple?
If the set of numbers are 3 positive whole numbers that satisfy the equation a2 + b2 = c2
200
Find the value of x. (Round to the nearest tenth) Then tell whether the side lengths form a Pythagorean triple.
x = 13.4
No, it is not a Pythagorean triple
200
Draw the 30/60/90 triangle, include all angles and sides.
200
Write the expression cos 59° in terms of sine.
cos 59 = sin 31
200
Let ∠D be an acute angle such that sin D = 0.75 Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.
m∠D = 48.6
200
Find the value of x. (use geometric mean)
x = 8
300
Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
x = 14
Yes, it is a Pythagorean triple
300
Find the value of x. Round to the nearest tenth.
x = 9.9
300
Find the value of x. Round to the nearest tenth.
x = 13.8
300
Determine which of the two acute angles has a sine of 0.96.
sin A = .96
300
Find the values of x and y. Round to the nearest tenth.
x = 20.8
y = 12
400
Is this triangle a right triangle? Tell how you know
Yes, it a right triangle, because 652 + 722 = 972
400
Find the value of x.
x = 3
400
Find the sin, cos, and tan of the acute angles. Write each answer as a fraction in simplest form. 
Sin D = 4/5 Sin E = 3/5
Cos D = 3/5 Cos E = 4/5
Tan D = 4/3 Tan E = 3/4
400
Solve this triangle. Round decimal answers to the nearest tenth.
AB = 15
m∠A = 53.1
m∠B = 36.9
400
Find sin θ and tan θ. Cos θ = 2/5. Round to the nearest hundredth.
sin θ = .92
tan θ = 2.29
500
The side lengths of a triangle are 10, 11, and 14. Classify the triangle (acute, right, or obtuse).
Acute.
500
Find the values of x and y.
x = 3
y = 6
500
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
p = 30.6
q = 14.9
500
Solve this triangle. Round decimal answers to the nearest tenth.
KL = 5.1
ML = 6.1
m∠K = 50
500
Identify the similar triangles. Then find the value of x. (Set up similar triangles)
x = 9.6
ΔQSR∼ΔQTS∼ΔSTR