| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If the base of this triangle is 3 and the height is 1, what is the area?
| 17\(\frac{1}{2}\) | |
| 91 | |
| 21 | |
| 1\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 3 x 1 = \( \frac{3}{2} \) = 1\(\frac{1}{2}\)
If side x = 5cm, side y = 6cm, and side z = 14cm what is the perimeter of this triangle?
| 22cm | |
| 25cm | |
| 30cm | |
| 32cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 6cm + 14cm = 25cm
The dimensions of this trapezoid are a = 6, b = 3, c = 9, d = 4, and h = 4. What is the area?
| 14 | |
| 26 | |
| 20 | |
| 37\(\frac{1}{2}\) |
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(3 + 4)(4)
a = ½(7)(4)
a = ½(28) = \( \frac{28}{2} \)
a = 14
If side a = 5, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{34} \) | |
| \( \sqrt{128} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 92
c2 = 25 + 81
c2 = 106
c = \( \sqrt{106} \)
If a = c = 5, b = d = 6, and the blue angle = 62°, what is the area of this parallelogram?
| 56 | |
| 6 | |
| 36 | |
| 30 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30