Roots
Name _____________________________________________________ Date __________________
Score _________
Questions
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1.
How many legs does a right triangle have?
Hint: Which sides join at the right angle?
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2.
What is the maximum number right angles a right triangle can have?
Hint: The three interior angles of every triangle always add up to 180°.
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3.
In a right triangle, which side is always directly across from the right angle?
Hint: Which side is longest?
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4.
Is $\dfrac{3}{16}$ between $\dfrac{1}{8}$ and $\dfrac{1}{4}$?
Hint: Convert all fractions to common denominators.
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5.
Which of the following numbers is NOT a perfect square? $$ 1, 2, 3, 4, 5, 6, 7, 8, 9$$
Hint: A perfect square is the product of an integer multiplied to itself, such as $2 \times 2 = 4$.
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6.
What is the Pythagorean Theorem?
Hint: The sum of the squares of the legs…
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7.
In a right triangle, which side is always the longest?
Hint: In the Pythagorean Theorem ($a^2 + b^2 = c^2$), $c$ is always the hypotenuse.
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8.
Do the side lengths of $3$, $4$ and $5$ form a right triangle?
Hint: $a^2 + b^2 = c^2$
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9.
Do the side lengths of $8$, $10$ and $14$ form a right triangle?
Hint: $a^2 + b^2 = c^2$
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10.
Do the side lengths of $6$, $8$ and $10$ form a right triangle?
Hint: $a^2 + b^2 = c^2$
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11.
What two integers are the square root $\sqrt{30}$ between?
Hint: What are the roots of the closest perfect squares?
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12.
What two integers is the square root $\sqrt{42}$ between?
Hint: What are the roots of the closest perfect squares?
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13.
What two integers is the square root $\sqrt{55}$ between?
Hint: What are the roots of the closest perfect squares?
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14.
What two integers is the square root $\sqrt{67}$ between?
Hint: What are the roots of the closest perfect squares?
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15.
To the nearest tenth, what is the missing side length of a right triangle when side $b=40$ and side $c=50$?
Hint: $a^2 + b^2 = c^2$
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16.
To the nearest tenth, what is the missing side length of a right triangle when side $a=10$ and side $c=26$?
Hint: $a^2 + b^2 = c^2$
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17.
To the nearest tenth, what is the missing side length of a right triangle when side $a=65$ and side $c=97$?
Hint: $a^2 + b^2 = c^2$
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