| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
If side a = 5, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{90} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{29} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 22
c2 = 25 + 4
c2 = 29
c = \( \sqrt{29} \)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
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).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c2 + a2 |
|
a2 - c2 |
|
c - a |
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, \(c = \sqrt{a + b}\)
Simplify 9a x 6b.
| 54ab | |
| 54a2b2 | |
| 15ab | |
| 54\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
9a x 6b = (9 x 6) (a x b) = 54ab
If a = c = 9, b = d = 7, and the blue angle = 63°, what is the area of this parallelogram?
| 63 | |
| 28 | |
| 16 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 7
a = 63