| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
If side a = 6, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{29} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 52
c2 = 36 + 25
c2 = 61
c = \( \sqrt{61} \)
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
|
isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 9. What is the volume?
| 567 | |
| 96 | |
| 24 | |
| 90 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 7 x 9
v = 567
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d2 |
|
c = π d |
|
c = π r |
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.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the volume?
| 384π | |
| 196π | |
| 225π | |
| 162π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 9)
v = 225π