| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
If side a = 3, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{98} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 52
c2 = 9 + 25
c2 = 34
c = \( \sqrt{34} \)
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
intersects |
|
trisects |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The dimensions of this trapezoid are a = 6, b = 2, c = 9, d = 4, and h = 4. What is the area?
| 12 | |
| 14 | |
| 28 | |
| 18 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 4)(4)
a = ½(6)(4)
a = ½(24) = \( \frac{24}{2} \)
a = 12
If angle a = 32° and angle b = 58° what is the length of angle c?
| 90° | |
| 92° | |
| 68° | |
| 107° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 58° = 90°
If angle a = 30° and angle b = 49° what is the length of angle d?
| 111° | |
| 124° | |
| 119° | |
| 150° |
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° - 30° - 49° = 101°
So, d° = 49° + 101° = 150°
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° - 30° = 150°