| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If side a = 6, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{117} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 92
c2 = 36 + 81
c2 = 117
c = \( \sqrt{117} \)
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, obtuse, acute |
|
right, acute, obtuse |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If the base of this triangle is 8 and the height is 9, what is the area?
| 71\(\frac{1}{2}\) | |
| 52 | |
| 36 | |
| 60 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 9 = \( \frac{72}{2} \) = 36
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If a = c = 6, b = d = 7, what is the area of this rectangle?
| 42 | |
| 56 | |
| 35 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 7
a = 42