| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If side a = 4, side b = 3, what is the length of the hypotenuse of this right triangle?
| 5 | |
| \( \sqrt{37} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{32} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 32
c2 = 16 + 9
c2 = 25
c = \( \sqrt{25} \)
c = 5
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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equilateral and isosceles |
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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.
Simplify (y - 9)(y + 7)
| y2 + 2y - 63 | |
| y2 - 2y - 63 | |
| y2 + 16y + 63 | |
| y2 - 16y + 63 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 9)(y + 7)
(y x y) + (y x 7) + (-9 x y) + (-9 x 7)
y2 + 7y - 9y - 63
y2 - 2y - 63
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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right, acute, obtuse |
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acute, obtuse, right |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.