| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
If side a = 4, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 42
c2 = 16 + 16
c2 = 32
c = \( \sqrt{32} \)
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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5 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
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c2 + a2 |
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c2 - a2 |
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c - a |
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, \(c = \sqrt{a + b}\)
If a = 2, b = 1, c = 1, and d = 4, what is the perimeter of this quadrilateral?
| 26 | |
| 23 | |
| 24 | |
| 8 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 1 + 1 + 4
p = 8
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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pairs |
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exponents |
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division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)