| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If side a = 7, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{58} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 32
c2 = 49 + 9
c2 = 58
c = \( \sqrt{58} \)
If side x = 8cm, side y = 5cm, and side z = 13cm what is the perimeter of this triangle?
| 34cm | |
| 26cm | |
| 22cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 5cm + 13cm = 26cm
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
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 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 trapezoid are a = 4, b = 4, c = 7, d = 2, and h = 3. What is the area?
| 9 | |
| 22 | |
| 14 | |
| 30 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(4 + 2)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9
The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 2. What is the surface area?
| 146 | |
| 318 | |
| 132 | |
| 152 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 2) + (2 x 2 x 5) + (2 x 9 x 5)
sa = (36) + (20) + (90)
sa = 146