| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If side x = 13cm, side y = 11cm, and side z = 9cm what is the perimeter of this triangle?
| 24cm | |
| 34cm | |
| 23cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 11cm + 9cm = 33cm
On this circle, line segment AB is the:
diameter |
|
chord |
|
radius |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If a = 8, b = 7, c = 8, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 11 | |
| 25 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 7 + 8 + 2
p = 25
Solve for c:
c2 + 6c + 8 = 0
| 9 or 1 | |
| -2 or -4 | |
| 3 or 1 | |
| 4 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 6c + 8 = 0
(c + 2)(c + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 4) must equal zero:
If (c + 2) = 0, c must equal -2
If (c + 4) = 0, c must equal -4
So the solution is that c = -2 or -4
If the base of this triangle is 1 and the height is 2, what is the area?
| 18 | |
| 1 | |
| 30 | |
| 105 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 2 = \( \frac{2}{2} \) = 1