| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 + a2 |
|
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, \(c = \sqrt{a + b}\)
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and right |
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isosceles and right |
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equilateral and isosceles |
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.
What is 3a6 + 8a6?
| -5a12 | |
| -5 | |
| 11a6 | |
| 24a12 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a6 + 8a6 = 11a6
What is the circumference of a circle with a radius of 2?
| 11π | |
| 2π | |
| 4π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 2)
c = 4π
The formula for the area of a circle is which of the following?
c = π d |
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c = π r2 |
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c = π d2 |
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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.