Find the Hypotenuse 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 hypotenuse of this triangle.
- (5) cm
Hint
Help VideoCorrect
Good job!
Incorrect
Finding the Hypo$$\large\textbf{+}$$enuse
Use $$\large\textbf{+}$$
$${\color{#00880a}{c}}^2={\color{#9a00c7}{a}}^2 \hspace{1mm} \large\textbf{+} \hspace{1mm} \normalsize{{\color{#007DDC}{b}}^2}$$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.
`c``=?``a=3` cm`b=4` cm$${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{3}}^2 + {\color{#007DDC}{4}}^2$$ `c^2` `=` `9+16` `c^2` `=` `25` `sqrt(c^2)` `=` `sqrt25` Get the square root of both sides `c` `=` `5` cm `5` cm -
Question 2 of 4
2. Question
Find the hypotenuse of this triangle.
- (13) mm
Hint
Help VideoCorrect
Great Work!
Incorrect
Finding the Hypo$$\large\textbf{+}$$enuse
Use $$\large\textbf{+}$$
$${\color{#00880a}{c}}^2={\color{#9a00c7}{a}}^2 \hspace{1mm} \large\textbf{+} \hspace{1mm} \normalsize{{\color{#007DDC}{b}}^2}$$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.
`c``=?``a=5` mm`b=12` mm$${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{5}}^2 + {\color{#007DDC}{12}}^2$$ `c^2` `=` `25+144` `c^2` `=` `169` `sqrt(c^2)` `=` `sqrt169` Get the square root of both sides `c` `=` `13` mm `13` mm -
Question 3 of 4
3. Question
Find the hypotenuse of this triangle.
- (10) m
Hint
Help VideoCorrect
Correct!
Incorrect
Finding the Hypo$$\large\textbf{+}$$enuse
Use $$\large\textbf{+}$$
$${\color{#00880a}{c}}^2={\color{#9a00c7}{a}}^2 \hspace{1mm} \large\textbf{+} \hspace{1mm} \normalsize{{\color{#007DDC}{b}}^2}$$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.
`c``=?``a=6` m`b=8` m$${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{6}}^2 + {\color{#007DDC}{8}}^2$$ `c^2` `=` `36+64` `c^2` `=` `100` `sqrt(c^2)` `=` `sqrt100` Get the square root of both sides `c` `=` `10` m `10` m -
Question 4 of 4
4. Question
Find the hypotenuse of this triangle.
- (26) m
Hint
Help VideoCorrect
Keep Going!
Incorrect
Finding the Hypo$$\large\textbf{+}$$enuse
Use $$\large\textbf{+}$$
$${\color{#00880a}{c}}^2={\color{#9a00c7}{a}}^2 \hspace{1mm} \large\textbf{+} \hspace{1mm} \normalsize{{\color{#007DDC}{b}}^2}$$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.
`c=x``a=24` m`b=10` m$${\color{#00880a}{c}}^2$$ `=` $${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$$ Pythagoras’ Theorem $${\color{#00880a}{x}}^2$$ `=` $${\color{#9a00c7}{24}}^2 + {\color{#007DDC}{10}}^2$$ `x^2` `=` `576+100` `x^2` `=` `676` `sqrt(x^2)` `=` `sqrt676` Get the square root of both sides `x` `=` `26` m `26` m