| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
|
isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If angle a = 25° and angle b = 57° what is the length of angle c?
| 98° | |
| 92° | |
| 61° | |
| 67° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 25° - 57° = 98°
If a = c = 5, b = d = 8, and the blue angle = 70°, what is the area of this parallelogram?
| 30 | |
| 54 | |
| 40 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 8
a = 40
Solve for b:
2b + 4 = \( \frac{b}{-6} \)
| 1\(\frac{1}{5}\) | |
| -\(\frac{14}{17}\) | |
| -\(\frac{12}{13}\) | |
| -1\(\frac{11}{13}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
2b + 4 = \( \frac{b}{-6} \)
-6 x (2b + 4) = b
(-6 x 2b) + (-6 x 4) = b
-12b - 24 = b
-12b - 24 - b = 0
-12b - b = 24
-13b = 24
b = \( \frac{24}{-13} \)
b = -1\(\frac{11}{13}\)
If side a = 7, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 82
c2 = 49 + 64
c2 = 113
c = \( \sqrt{113} \)