SOH-CAH-TOA
Law of Cosines
Law of Sines
Special Right Triangles
Pythagorean Theorem
100
What does the acronym SOH-CAH-TOA stand for
sin opp/hyp, cos adj/hyp, tan opp/adj
credit: blue notes
100
When do you use the law of cosines
When given only one angle measure
credit: red notes
100
When do you use the law of sines
When you are given two angle measures and a side length or one angle measure and two side lengths
credit: red notes
100
What are the side ratios of a 45-45-90 triangle?
1 - 1 - square root of 2
credit: blue notes
100
What is the most common Pythagorean triple
3, 4, 5
credit: blue notes
200
cos G= 3/5
credit: delta math
200
The c2 equation of the law of cosines
c2 = a2 + b2 - 2ab * cos C
credit: red notes
200
The equation for the law of sines
sin A/a = sin B/b = sin C/c
credit: blue notes
200
what are the ratios of a 30-60-90 triangle
1 - square root of 3 - 2
credit: blue notes
200
what is the converse of the Pythagorean theorem
if a2 + b2 = c2 where c is the longest side of triangle ABC, then the triangle is a right triangle
credit: blue notes
300
sin G= .54
credit: delta math
300
In the equation, capital letters indicate what
An angle measure
credit: blue notes
300
In the equation, lowercase letters indicate what
A side length
credit: blue notes
300
In a 45-45-90 isosceles triangle, the short sides are 18. What is the length of the missing side, or hypotenuse
25.5
credit: delta math
300
Find the length of the hypotenuse of a right triangle if the other side lengths are 6 and 7
9.8
credit: delta math
400
the kite is 42.2 feet above ground
credit: delta math
400
In triangle FGH, h = 7.1cm, f = 6.7cm, and the m<G is 103 degrees. Find the length of G, to the nearest 10th of a centimeter
10.8cm
credit: delta math
400
In triangle JKL, k = 22cm, <L = 23 degrees, and <J = 26 degrees. Find the J length, rounded to the nearest 10th of a cm.
12.8cm
credit: delta math
400
9
credit: delta math
400
If you place a 37-foot ladder against the top of a 15-foot building, how many feet, to the nearest tenth, will the bottom of the ladder be from the bottom of the building?
33.8 ft
credit: delta math
500
A boat is heading towards a ligthhouse, whose beacon-light is 141 feet above the water. From point A, the boat's crew measures the angle of elevtation to the beacon, 6 degrees, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 12 degrees. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
The boat traveled 678 feet from point A to point B.
credit: delta math
500
In triangle IJK, i = 63cm, j = 51cm, and k = 42cm. Find the measure of <J to the nearest degree
54 degrees
credit: delta math
500
In triangle OPQ, o = 520cm, <O = 115 degrees, and <P = 15 degrees. Find the length of q, to the nearest 10th of a centimeter.
439.5cm
credit: delta math
500
If the altitude of an equialateral triangle is 30cm, find the area and perimeter of the triangle.
perimeter- 60 square root 3
area- 300 square root 3 cm^2
credit: https://slideplayer.com/slide/6185118/
500
A piece of straw is placed diagonally inside a box that is 3in x 5in x 1in. If the straw fits perfectly, what is its' length
square root of 35in
credit: delta math