Special Right Triangles - 45, 45, 90
- a = 3, b = 3
- missing sides: $$ 2, 2\sqrt{2} $$
Special Right Triangles - 30, 60, 90
- missing sides: $$ 6, 6\sqrt{3} $$
- missing sides: $$ \frac{20\sqrt{3}}{3} , \frac{40\sqrt{3}}{3} $$
Equilateral Triangle Area
$$ 144\sqrt{3} $$
Pythagorean Theorem
- 13
- 8.6
Sine, Cosine, and Tangent
-
- sin(A) = 12/13
- cos(A) = 5/13
- tan(A) = 12/5
- sin(B) = 5/13
- cos(B) = 12/13
- tan(B) = 5/12
-
- sin(A) = 4/5
- cos(A) = 3/5
- tan(A) = 4/3
- sin(B) = 3/5
- cos(B) = 4/5
- tan(B) = 3/4
Find the value of x in the right triangle
- 8.4
- 73.9°
- 2.7
Right Triangle Word Problem 1
- 19.5°
Right Triangle Word Problem 2
- 2.3 feet
More Trig Ratios
B and C are TRUE
Solid Geometry Rotations
- Cylinder B
- Sphere: C
- Cone: A
Prism Volume 1
88 cm3
Cylinder Volume 2
200π cm2
Triangular Prism 1
48 cubic units
Cone Volume 1
5.6π cm3
Similar Triangles 1
- They have the same angles.
- q/r
- 13.1
Pyramid Volume 1
V = 400 cubic units
Shape Formed 1
| Circle | Rectangle | Square | Triangle | |
| a cube parallel to the base | X | |||
| A cone perpendicular to the base, passing through the apex | X | |||
| a cylinder perpendicular to the base | X | |||
| a sphere in any direction | X |
3 Cross Sections
- Figure 2
- Figure 1
- Figure 3
Pyramid Volume 2
height = 6 units
Volume Dilation 1
k = 3
Parallel, Perpendicular, or Neither
- Parallel
- Neither
- Neither
- Perpendicular
- Neither
- Perpendicular
Circle Equations 1
- Not on the circle
- Not on the circle
- On the circle
Circle Equations 2
(x + 3)2 + (y − 2)2 = 36
Circle Equations 3
- ii
- v
- iii
- i
- iv
Transformations 1
- (x, y) -> (−x, y + 3)
- reflection over the x-axis and a verticle shift up by 3.
- a.
Advanced Circles 1
∠ACB = 28°
Advanced Circles 2
- 210°
- 150°
- 75°
Advanced Circles 3
180°
Advanced Circles 4
∠B = 40°