| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
If side x = 14cm, side y = 13cm, and side z = 12cm what is the perimeter of this triangle?
| 34cm | |
| 39cm | |
| 26cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 13cm + 12cm = 39cm
What is 4a + 8a?
| -4a2 | |
| 32a | |
| a2 | |
| 12a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a + 8a = 12a
What is 9a - 9a?
| 0a | |
| 18 | |
| 81a2 | |
| 2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a - 9a = 0a
If angle a = 56° and angle b = 29° what is the length of angle d?
| 151° | |
| 124° | |
| 132° | |
| 122° |
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° - 56° - 29° = 95°
So, d° = 29° + 95° = 124°
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° - 56° = 124°
If side a = 1, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{45} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 42
c2 = 1 + 16
c2 = 17
c = \( \sqrt{17} \)