Find a Side 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Solve for `x`.
- (24)cm
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=30` cm`a=x``b=18` cm$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{x}}^2$$ `=` $${\color{#00880a}{30}}^2-{\color{#007DDC}{18}}^2$$ `x^2` `=` `900-324` `x^2` `=` `576` `sqrt(x^2)` `=` `sqrt576` Get the square root of both sides `x` `=` `24` cm `24` cm -
Question 2 of 4
2. Question
Solve for `n`.
- (63)mm
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=65` mm`a=n``b=16` mm$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{n}}^2$$ `=` $${\color{#00880a}{65}}^2-{\color{#007DDC}{16}}^2$$ `n^2` `=` `4225-256` `n^2` `=` `3969` `sqrt(n^2)` `=` `sqrt3969` Get the square root of both sides `n` `=` `63` mm `63` mm -
Question 3 of 4
3. Question
Solve for `x`.
Round off answer to `1` decimal place- (29.4)cm
Hint
Help VideoCorrect
Well Done!
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=42` cm`a=x``b=30` cm$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{x}}^2$$ `=` $${\color{#00880a}{42}}^2-{\color{#007DDC}{30}}^2$$ `x^2` `=` `1794-900` `x^2` `=` `864` `sqrt(x^2)` `=` `sqrt864` Get the square root of both sides `x` `=` `29.3938…` cm `x` `=` `29.4` cm Round off to `1` decimal place `29.4` cm -
Question 4 of 4
4. Question
Solve for `y`.
Round off answer to `1` decimal place- (12)m
Hint
Help VideoCorrect
Well Done!
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=12.5` m`a=y``b=3.5` m$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#9a00c7}{y}}^2$$ `=` $${\color{#00880a}{12.5}}^2-{\color{#007DDC}{3.5}}^2$$ `y^2` `=` `156.25-12.25` `y^2` `=` `144` `sqrt(y^2)` `=` `sqrt144` Get the square root of both sides `y` `=` `12` m `12` m
Quizzes
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras’ Theorem Problems 1
- Pythagoras’ Theorem Problems 2
- Pythagoras’ Theorem Problems 3
- Pythagoras Theorem Mixed Review 1
- Pythagoras Theorem Mixed Review 2
- Pythagoras Theorem Mixed Review 3
- Pythagoras Theorem Mixed Review 4