Pythagorean Theorem Questions
1. Solve for x, rounded to the nearest tenth of a cm, where x is the hypotenuse and the lengths of the other two sides of a right-angled triangle are 13 cm and 16 cm.
2. Solve for x, rounded to the nearest tenth of a cm, where the hypotenuse of a right-angled triangle is 15 cm, one of the other sides is 11 cm, and the unknown third side length is x.
Solutions to these two problems are given at http://www.youtube.com/watch?v=4mxPirCm5Bs&list=UUm-Z_cRxySqM3GkXMKmDPUg&index=2&feature=plcp
1. You're given Triangle ABC, in which B = 90 degrees, A = 37 degrees, and c = 11 cm. Determine the length of side a to the nearest tenth of a cm.
2. You're given Triangle ABC, in which A = 90 degrees, B = 56 degrees, and b = 15 cm. Determine the length of side a to the nearest tenth of a cm.
Solutions to these two problems, as well as a brief tutorial on SOHCAHTOA, can be found at
3. You're given Triangle DEF, in which E = 90 degrees, e = 19 cm, and f = 15 cm. Determine the magnitude of angle D to the nearest tenth of a degree.
4. You're given Triangle MNP, in which N = 90 degrees, m = 12 cm, and p = 29 cm. Determine the magnitude of angle M to the nearest tenth of a degree.
Solutions to these two problems are given at http://www.youtube.com/watch?v=2czjn5v2SBY&feature=g-upl&context=G2282e2aAUAAAAAAAAAA
1. In Triangle GHI, solve for h , rounded to the nearest tenth of a cm, where g=19 cm, i= 14 cm, and H=111 degrees.
2. In Triangle MNP, solve for P to the nearest tenth of a degree, where M = 12 cm, N = 13 cm, and P = 14 cm.
A tutorial on the Cosine Law, as well as the answers to both of these questions, can be found at http://www.youtube.com/watch?v=EcK2QSDU01w&list=UUm-Z_cRxySqM3GkXMKmDPUg&index=1&feature=plcp. (The solution on the video uses the variable x within the solution, but it is not necessary to introduce this new variable).
Student Work in Trigonometry
Cosine Law Word Problem http://www.youtube.com/Icyhollowabyss#p/u/6/cuEOqP1Nup8