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|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
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For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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a2 - c2 |
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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, \(c = \sqrt{a + b}\)
What is 2a - 7a?
| -5a | |
| -5 | |
| 14a2 | |
| 9a2 |
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.
2a - 7a = -5a
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, acute, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If side a = 1, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{117} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{20} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 52
c2 = 1 + 25
c2 = 26
c = \( \sqrt{26} \)
If a = 8, b = 6, c = 8, and d = 1, what is the perimeter of this quadrilateral?
| 11 | |
| 21 | |
| 19 | |
| 23 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 6 + 8 + 1
p = 23