November 5, 2021 CE
Roots
-
How many legs does a right triangle have?
Which sides join at the right angle?2 -
What is the maximum number right angles a right triangle can have?
The three interior angles of every triangle always add up to 180°.1 -
In a right triangle, which side is always directly across from the right angle?
Which side is longest?The hypotenuse, which is side $c$ in the Pythagorean Theorem. -
Is $\dfrac{3}{16}$ between $\dfrac{1}{8}$ and $\dfrac{1}{4}$?
Convert all fractions to common denominators.Yes. $\dfrac{1}{8}=\dfrac{2}{16}$ and $\dfrac{1}{4}=\dfrac{4}{16}$ -
Which of the following numbers is NOT a perfect square? $$ 1, 2, 3, 4, 5, 6, 7, 8, 9$$
A perfect square is the product of an integer multiplied to itself, such as $2 \times 2 = 4$.$ 2, 3, 5, 6, 7, 8$ -
What is the Pythagorean Theorem?
The sum of the squares of the legs…$a^2 + b^2 = c^2$ -
In a right triangle, which side is always the longest?
In the Pythagorean Theorem ($a^2 + b^2 = c^2$), $c$ is always the hypotenuse.The hypotenuse -
Do the side lengths of $3$, $4$ and $5$ form a right triangle?
$a^2 + b^2 = c^2$Yes. $3^2 + 4^2 = 5^2$ -
Do the side lengths of $8$, $10$ and $14$ form a right triangle?
$a^2 + b^2 = c^2$No. $8^2 + 10^2 \ne 14^2$ -
Do the side lengths of $6$, $8$ and $10$ form a right triangle?
$a^2 + b^2 = c^2$Yes. $6^2 + 8^2 = 10^2$ -
What two integers are the square root $\sqrt{30}$ between?
What are the roots of the closest perfect squares?5 and 6 -
What two integers is the square root $\sqrt{42}$ between?
What are the roots of the closest perfect squares?6 and 7 -
What two integers is the square root $\sqrt{55}$ between?
What are the roots of the closest perfect squares?7 and 8 -
What two integers is the square root $\sqrt{67}$ between?
What are the roots of the closest perfect squares?8 and 9 -
To the nearest tenth, what is the missing side length of a right triangle when side $b=40$ and side $c=50$?
$a^2 + b^2 = c^2$$a=30$ -
To the nearest tenth, what is the missing side length of a right triangle when side $a=10$ and side $c=26$?
$a^2 + b^2 = c^2$$b=24$ -
To the nearest tenth, what is the missing side length of a right triangle when side $a=65$ and side $c=97$?
$a^2 + b^2 = c^2$$b=72$