Find the Hypotenuse 3

Topics

Algebra 1

Pythagoras' Theorem

Find the Hypotenuse

Find the Hypotenuse 3

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Question 1 of 3

Solve for

$x$ .

Round off answer to

$1$ decimal place

(10.6)m

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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.

$c=x$

$a=8$ m

$b=7$ m

${\color{#00880a}{c}}^2$	$=$	${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#00880a}{x}}^2$	$=$	${\color{#9a00c7}{8}}^2 + {\color{#007DDC}{7}}^2$
$x^2$	$=$	$64+49$
$x^2$	$=$	$113$
$sqrt(x^2)$	$=$	$sqrt113$	Get the square root of both sides
$x$	$=$	$10.63014$ m
$x$	$=$	$10.6$ m	Round off to $1$ decimal place

$10.6$ m

Question 2 of 3

Solve for

$y$ .

Round off answer to

$2$ decimal places

(21.93)m

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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.

$c=y$

$a=9$ m

$b=20$ m

${\color{#00880a}{c}}^2$	$=$	${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#00880a}{y}}^2$	$=$	${\color{#9a00c7}{9}}^2 + {\color{#007DDC}{20}}^2$
$y^2$	$=$	$81+400$
$y^2$	$=$	$481$
$sqrt(y^2)$	$=$	$sqrt481$	Get the square root of both sides
$y$	$=$	$21.9317…$ m
$y$	$=$	$21.93$ m	Round off to $1$ decimal place

$21.93$ m

Question 3 of 3

Solve for

$m$ .

Round off answer to

$2$ decimal places

(30.61)km

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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.

$c=m$

$a=19$ km

$b=24$ km

${\color{#00880a}{c}}^2$	$=$	${\color{#9a00c7}{a}}^2 + {\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#00880a}{m}}^2$	$=$	${\color{#9a00c7}{19}}^2 + {\color{#007DDC}{24}}^2$
$m^2$	$=$	$361+576$
$m^2$	$=$	$937$
$sqrt(m^2)$	$=$	$sqrt937$	Get the square root of both sides
$m$	$=$	$30.610457…$ km
$m$	$=$	$30.61$ km	Round off to $1$ decimal place

$30.61$ km

Find the Hypotenuse 3

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Quiz summary

Information

1. Question

Hint

Well Done!

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$

2. Question

Hint

Fantastic!

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$

3. Question

Hint

Correct!

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$

Quizzes

Find the Hypotenuse 3

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Quiz summary

Information

1. Question

Hint

Well Done!

Finding the Hypo+\large\textbf{+}enuse

Use +\large\textbf{+}

2. Question

Hint

Fantastic!

Finding the Hypo+\large\textbf{+}enuse

Use +\large\textbf{+}

3. Question

Hint

Correct!

Finding the Hypo+\large\textbf{+}enuse

Use +\large\textbf{+}

Quizzes

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$

Finding the Hypo $\large\textbf{+}$ enuse

Use $\large\textbf{+}$