Show:
Vocabulary
Triangles
Area
Volume
Trigonometry
100
What's the term for points on the same line?
Collinear
100
What is the name for a triangle with all sides congruent?
Equilateral
100
What's the area of a square with a base of 5cm and a height of 32cm?
160 cm squared
100
What's the volume of a cereal box with a base length of 10in, a height of 13in, and a width of 3in?
390 in cubed
100
What is the trig ratio for cos?
adj/hyp
200
What's the term for points on the same plane?
Coplanar
200
What's the term for a triangle with an angle greater than 90 degrees?
Obtuse triangle
200
What's the area of a parallelogram with a base of 7m, a height of 11m, and a slant height of 3m?
77m squared
200
What's the formula for volume of a cylinder?
V = pi * r^2 * h
200
If you know the length of the hypotenuse and you want to find the length of the opposite side, what trig function would you use?
Sin, sin = opp/hyp
300
What's the term for a 4 sided figure?
Quadrilateral
300
What's the term for a triangle with no sides congruent?
Scalene triangle
300
What's the area of a triangle with a base of 6in, a side length of 7 in, and a height of 8in?
24 in squared
300
If the diameter of a cylinder is 18m and the height is 6m, what is the volume? (Leave your answer in terms of pi)
V = 486*pi meters cubed
300
What's the length of the opposite side if your angle measure is 30 and your adjacent side is 9? (simplify as much as you can)
tan30 = x/9 so x = 9 * tan30
400
What's the term for the points of a polygon where two line segments intersect?
Vertex or vertices
400
What's the term for a triangle with 2 sides congruent?
Isosceles
400
What's the area of the trapezoid with a base of 7cm, another base that is 10cm, and a height of 4cm?
34 cm squared
400
What's the formula for the volume of a cone?
V = 1/3 B * H
400
If you know the adjacent side length is 12 and the hypotenuse is 18, what is the measure of the angle? (Simplify as much as you can)
cos x = 12/18, so x = cos(-1) (12/18)
500
What's the term for the ratio of the circumference of the circle to its diameter?
Pi
500
What's the full name for a triangle with a right angle and two congruent sides?
Isosceles right triangle or Right isosceles triangle
500
How do we get the area formula for a triangle from the area formula for a rectangle?
The area for a rectangle is b x h, and since we can draw a diagonal in the rectangle that splits it into two equal triangles, we can just divide the formula by 2 so we get b x h / 2
500
If you have a square pyramid with side length 7yd and a height of 21yd, what is the volume?
V = 1/3 * B * H = 1/3 * 49 * 21 = 343 yd cubed
500
Why can't you have sin x = 18/9?
Sin x = opposite/hypotenuse. However, the hypotenuse always has to be the longest side. Therefore, this is not possible.