| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
If side a = 4, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 72
c2 = 16 + 49
c2 = 65
c = \( \sqrt{65} \)
If a = 8, b = 9, c = 4, and d = 8, what is the perimeter of this quadrilateral?
| 25 | |
| 11 | |
| 20 | |
| 29 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 9 + 4 + 8
p = 29
If side x = 13cm, side y = 9cm, and side z = 15cm what is the perimeter of this triangle?
| 21cm | |
| 37cm | |
| 35cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 9cm + 15cm = 37cm
If angle a = 65° and angle b = 58° what is the length of angle d?
| 146° | |
| 115° | |
| 153° | |
| 113° |
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° - 65° - 58° = 57°
So, d° = 58° + 57° = 115°
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° - 65° = 115°
If angle a = 67° and angle b = 34° what is the length of angle c?
| 86° | |
| 79° | |
| 107° | |
| 66° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 34° = 79°