Find a Side 1
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Question 1 of 4
1. Question
Solve for `x`.
- (9)m
Hint
Help VideoCorrect
Excellent!
Incorrect
Finding a Side
Use $$\large\textbf{-}$$
$${\color{#9a00c7}{a}}^2={\color{#00880a}{c}}^2 \hspace{1mm} \large\textbf{-} \hspace{1mm} \normalsize{\color{#007DDC}{b}}^2$$The longest side of a right triangle is called a hypotenuse (`c`). It is also the side opposite the right angle.Label the values, and then substitute them into Pythagoras’ Theorem (side).
`c=15` m`a=x``b=12` m$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{x}}^2$$ `=` $${\color{#00880a}{15}}^2-{\color{#007DDC}{12}}^2$$ `x^2` `=` `225-144` `x^2` `=` `81` `sqrt(x^2)` `=` `sqrt81` Get the square root of both sides `x` `=` `9` m `9` m -
Question 2 of 4
2. Question
Solve for `y`.
- (5)cm
Hint
Help VideoCorrect
Nice Job!
Incorrect
Finding a Side
Use $$\large\textbf{-}$$
$${\color{#9a00c7}{a}}^2={\color{#00880a}{c}}^2 \hspace{1mm} \large\textbf{-} \hspace{1mm} \normalsize{\color{#007DDC}{b}}^2$$The longest side of a right triangle is called a hypotenuse (`c`). It is also the side opposite the right angle.Label the values, and then substitute them into Pythagoras’ Theorem (side).
`c=13` cm`a=y``b=12` cm$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{y}}^2$$ `=` $${\color{#00880a}{13}}^2-{\color{#007DDC}{12}}^2$$ `y^2` `=` `169-144` `y^2` `=` `25` `sqrt(y^2)` `=` `sqrt25` Get the square root of both sides `y` `=` `5` cm `5` cm -
Question 3 of 4
3. Question
Solve for `n`.
- (6)mm
Hint
Help VideoCorrect
Great Work!
Incorrect
Finding a Side
Use $$\large\textbf{-}$$
$${\color{#9a00c7}{a}}^2={\color{#00880a}{c}}^2 \hspace{1mm} \large\textbf{-} \hspace{1mm} \normalsize{\color{#007DDC}{b}}^2$$The longest side of a right triangle is called a hypotenuse (`c`). It is also the side opposite the right angle.Label the values, and then substitute them into Pythagoras’ Theorem (side).
`c=10` mm`a=n``b=8` mm$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{n}}^2$$ `=` $${\color{#00880a}{10}}^2-{\color{#007DDC}{8}}^2$$ `n^2` `=` `100-64` `n^2` `=` `36` `sqrt(n^2)` `=` `sqrt36` Get the square root of both sides `n` `=` `6` mm `6` mm -
Question 4 of 4
4. Question
Solve for `y`.
- (7)m
Hint
Help VideoCorrect
Correct!
Incorrect
Finding a Side
Use $$\large\textbf{-}$$
$${\color{#9a00c7}{a}}^2={\color{#00880a}{c}}^2 \hspace{1mm} \large\textbf{-} \hspace{1mm} \normalsize{\color{#007DDC}{b}}^2$$The longest side of a right triangle is called a hypotenuse (`c`). It is also the side opposite the right angle.Label the values, and then substitute them into Pythagoras’ Theorem (side).
`c=25` m`a=y``b=24` m$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{y}}^2$$ `=` $${\color{#00880a}{25}}^2-{\color{#007DDC}{24}}^2$$ `y^2` `=` `625-576` `y^2` `=` `49` `sqrt(y^2)` `=` `sqrt49` Get the square root of both sides `y` `=` `7` m `7` m