| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
If side a = 6, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{37} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{20} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 12
c2 = 36 + 1
c2 = 37
c = \( \sqrt{37} \)
If BD = 14 and AD = 23, AB = ?
| 17 | |
| 9 | |
| 4 | |
| 15 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhich of the following statements about a triangle is not true?
perimeter = sum of side lengths |
|
area = ½bh |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
If angle a = 36° and angle b = 48° what is the length of angle d?
| 144° | |
| 133° | |
| 143° | |
| 152° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 48° = 96°
So, d° = 48° + 96° = 144°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 36° = 144°
The dimensions of this cube are height (h) = 2, length (l) = 8, and width (w) = 8. What is the surface area?
| 180 | |
| 18 | |
| 192 | |
| 210 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 8) + (2 x 8 x 2) + (2 x 8 x 2)
sa = (128) + (32) + (32)
sa = 192