| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
If side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{89} \) | |
| \( \sqrt{29} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for x:
-6x + 5 < \( \frac{x}{2} \)
| x < \(\frac{10}{13}\) | |
| x < \(\frac{18}{53}\) | |
| x < \(\frac{24}{31}\) | |
| x < 1\(\frac{8}{19}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-6x + 5 < \( \frac{x}{2} \)
2 x (-6x + 5) < x
(2 x -6x) + (2 x 5) < x
-12x + 10 < x
-12x + 10 - x < 0
-12x - x < -10
-13x < -10
x < \( \frac{-10}{-13} \)
x < \(\frac{10}{13}\)
Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral, isosceles and right |
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equilateral and right |
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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.