| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
If the base of this triangle is 2 and the height is 6, what is the area?
| 6 | |
| 38\(\frac{1}{2}\) | |
| 40 | |
| 56 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 6 = \( \frac{12}{2} \) = 6
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
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c2 - a2 |
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c - a |
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c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
If side a = 4, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{5} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{52} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 62
c2 = 16 + 36
c2 = 52
c = \( \sqrt{52} \)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?
| 196π | |
| 64π | |
| 343π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 9)
v = 81π