8.1
The Geometric Mean
8.2
The Pythagorean Theorem
8.3
Special Right Triangles
8.4 Trigonometry
8.5 Applications of Trig
100
What is the geometric mean of 4 and 64?
16
100
The measure of the hypotenuse of a right triangle with a leg = 3, and the other leg = 4.
5
100
One of 2 congruent triangles when a square is cut along its diagonal.
What is a 45-45 RIGHT triangle?
100
What types of triangles
What is Trigonometry?
200
What is the geometric mean of 3 and 27?
9
200
The measure of a leg of a right triangle with the other leg = 6, and the hypotenuse = 10
8
200
One of 2 congruent triangles formed when an equilateral/equiangular triangle is cut along one of its altitudes.
What is a 30-60 RIGHT triangle.
200
SOH-CAH-TOA
What is a memory aid (mnemonic) of the Trig ratios SINe, COSine, and TANgent?
200
The height of kite that Mary is flying on a 50-meter string that makes a 30-degree angle with the ground.
What is 25 feet (from height of kite = 50 times SINe 30-degrees) or { height = (50)(sin 30) }?
300
What is the geometric mean of 1 and 9?
3
300
What is the length of a leg if one leg equals 10 and the hypotenuse equals 26?
24
300
This longest side of a right triangle is TWICE or 2 times the measure of the short leg.
What is the measure of the HYPOTENUSE of a 30-60 right triangle?
300
The ratio of the Opposite side of an acute angle of a right triangle divided by the Hypotenuse.
What is the SINe (the Trig ratio) of the angle?
300
The measure of the height of a window with a 40 feet ladder leaning on it, making a 30-degree angle with the window's wall.
What is approximately 35 feet, or 40 times COSine 30 (from: COS 30 = wall height/40)?
400
What is the geometric mean of two positive numbers?
The square root of the product of the two numbers.
400
What is the length of the hypotenuse if one leg equals 30 and the other leg equals 16
34
400
The longest side of a right triangle is the measure of one of its legs times the square root of 2.
What is the measure of the hypotenuse of a 45-45 right triangle?
400
The ratio of the Adjacent side of an acute angle of a right triangle divided by the Hypotenuse.
What is the COSine (the Trig ratio) of the angle?
400
The measure of the angle of elevation of a trolley track that rises 40 feet vertically over a distance of 630 feet.
What is ≈ 3.6 (from TANgent of angle of elevation = 40/630)?
500
Find x for the given triangle.
6
500
What is the length of the hypotenuse if one leg equals 21 and the other leg equals 72?
75
500
If (the longest side)2 of a triangle is the same as [(one of its side)2 + (the other side)2], THEN the triangle is a right triangle.
What is the CONVERSE of the Pythagorean Theorem?
500
The ratio of the Opposite side of an acute angle of a right triangle divided by the Adjacent side to the angle.
What is the TANgent (the Trig ratio) of the acute angle of triangle?
500
The acute angles of right Δ ABC with AC = 3 meters, BC = 4 meters, AB = 5 meters, that is needed by a tile-setter so he can cut tiles precisely for the hypotenuse-edge of the floor.
What is m ∠ B ≈ 37 {from tan B = 3/4, or cos B = 4/5, or sin B = 3/5} and m ∠ A ≈ 53 (from tan A = 4/5, cos A = 3/5, and sin A = 4/5)
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