Topics
>
Pre - Algebra>
Pythagoras' Theorem>
Pythagoras Theorem Mixed Review>
Pythagoras Mixed Review 1Pythagoras Mixed Review 1
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
Find the value of the missing length `c`
The given measurements are in units- `c=` (5)` \text(units)`
Hint
Help VideoCorrect
Well Done!
Incorrect
Pythagoras’ Theorem Formula
`a^2``+``b^2``=``c^2``a` and `b` are the two sides, and `c` is the hypotenuseLabelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for `c``a^2``+``b^2` `=` `c^2` Pythagoras’ Theorem Formula `3^2``+``4^2` `=` `c^2` Plug in the known lengths `9+16` `=` `c^2` Evaluate `sqrt(c^2)` `=` `sqrt25` Take the square root of both sides `c` `=` `5 \text(units)` `c=5 \text(units)` -
Question 2 of 4
2. Question
Find the value of the missing length `k`
The given measurements are in units- `k=` (9)` \text(units)`
Hint
Help VideoCorrect
Great Work!
Incorrect
Method One
Finding a Side
Use $$\large\textbf{-}$$
$${\color{#9a00c7}{a}}^2={\color{#00880a}{c}}^2 \hspace{1mm} \large\textbf{-} \hspace{1mm} \normalsize{\color{#007DDC}{b}}^2$$Use the formula for Finding a Side to solve for `k`$${\color{#9a00c7}{a}}^2$$ `=` $${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$$ Finding a Side $${\color{#9a00c7}{k}}^2$$ `=` $${\color{#00880a}{15}}^2-{\color{#007DDC}{12}}^2$$ Plug in the known lengths `k^2` `=` `225-144` Evaluate `k^2` `=` `81` `sqrt(k^2)` `=` `sqrt81` Take the square root of both sides `k` `=` `9 \text(units)` `k=9 \text(units)`Method TwoPythagoras’ Theorem Formula
`a^2``+``b^2``=``c^2``a` and `b` can be switched as they are both sidesLabelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for `k``a^2``+``b^2` `=` `c^2` Pythagoras’ Theorem Formula `k^2``+``12^2` `=` `15^2` Plug in the known lengths `k^2+144` `=` `225` Evaluate `k^2+144` `-144` `=` `225` `-144` Subtract `144` from both sides `k^2``+144` `-144` `=` `81` `144-144` cancels out `sqrt(k^2)` `=` `sqrt81` Take the square root of both sides `k` `=` `9 \text(units)` `k=9 \text(units)` -
Question 3 of 4
3. Question
Find the value of the missing length `x`
Round your answer to 2 decimal places- `x=` (11.66) `\text(cm)`
Hint
Help VideoCorrect
Nice Job!
Incorrect
Pythagoras’ Theorem Formula
`a^2``+``b^2``=``c^2``a` and `b` are the two sides, and `c` is the hypotenuseLabelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for `c``a^2``+``b^2` `=` `c^2` Pythagoras’ Theorem Formula `6^2``+``10^2` `=` `x^2` Plug in the known lengths `36+100` `=` `x^2` Evaluate `sqrt(x^2)` `=` `sqrt136` Take the square root of both sides `x` `=` `11.66 \text(cm)` Rounded to two decimal places `x=11.66 \text(cm)` -
Question 4 of 4
4. Question
Find the value of the missing length `y`
Round your answer to 2 decimal places- `y=` (14.42)` \text(cm)`
Hint
Help VideoCorrect
Excellent!
Incorrect
Pythagoras’ Theorem Formula
`a^2``+``b^2``=``c^2``a` and `b` are the two sides, and `c` is the hypotenuseLabelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for `c``a^2``+``b^2` `=` `c^2` Pythagoras’ Theorem Formula `8^2``+``12^2` `=` `y^2` Plug in the known lengths `64+144` `=` `y^2` Evaluate `sqrt(y^2)` `=` `sqrt208` Take the square root of both sides `y` `=` `14.42 \text(cm)` Rounded to two decimal places `y=14.42 \text(cm)`