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Do you have a pencil and paper ready? If not, get yourself organized before answering the question below.
Are you ready to begin this lesson?
no
yes
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The Pythagorean Theorem applies to _________ .
all triangles
equilateral triangles only
right angle triangles only
isosceles triangles only
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Which equation represents the Pythagorean Theorem?
$2a \times 2b = 2c$
$2a + 2b = 2c$
$a^2 \times b^2 = c^2$
$a^2 + b^2 = c^2$
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Which of the following is not true about the hypotenuse?
It is the longest side in any triangle.
It is the longest side in a right angle triangle.
It is the side opposite to the right angle in a right angle triangle.
It is the side that connects the two legs in a right angle triangle.
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Find the length of the hypotenuse in a triangle with legs $ a = 2 $ and $ b = 3 $.
$\sqrt{17}$
$\sqrt{5}$
$\sqrt{10}$
$\sqrt{13}$
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Find the length of the hypotenuse in a triangle with legs $ a = 4 $ and $ b = 5 $.
$\sqrt{41}$
$3 \sqrt{2}$
$3$
$\sqrt{66}$
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Find the side of a right triangle with one leg $ a = 6 $ and the hypotenuse $ c = 7 $.
$\frac{\sqrt{26}}{2}$
$\sqrt{85}$
$2 \sqrt{13}$
$\sqrt{13}$
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Find the side of a right triangle with one leg $ a = 1 $ and the hypotenuse $ c = 6 $.
$2 \sqrt{35}$
$\sqrt{74}$
$\sqrt{5}$
$\sqrt{35}$
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Is a triangle with sides $a = 6\ \text{m}$, $b = 8\ \text{m}$ and $c = 10\ \text{cm}$ a right angle triangle?
no
yes
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Is a triangle with the sides $a = 2\ \text{cm}$, $b = 4\ \text{cm}$ and $c = \sqrt{20}\ \text{cm}$ a right angle triangle?
no
yes
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