Find a Side 3

Topics

Geometry

Pythagoras' Theorem

Find a Side

Find a Side 3

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Question 1 of 3

Solve for

$x$ .

Round off answer to

$1$ decimal place

(7.5)cm

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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).

$c=19.5$ cm

$a=x$

$b=18$ cm

${\color{#9a00c7}{a}}^2$	$=$	${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#9a00c7}{x}}^2$	$=$	${\color{#00880a}{19.5}}^2-{\color{#007DDC}{18}}^2$
$x^2$	$=$	$380.25-324$
$x^2$	$=$	$56.25$
$sqrt(x^2)$	$=$	$sqrt56.25$	Get the square root of both sides
$x$	$=$	$7.5$ cm

$7.5$ cm

Question 2 of 3

Solve for

$x$ .

Round off answer to

$2$ decimal places

(24.91)m

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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).

$c=30.5$ m

$a=x$

$b=17.6$ m

${\color{#9a00c7}{a}}^2$	$=$	${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#9a00c7}{x}}^2$	$=$	${\color{#00880a}{30.5}}^2-{\color{#007DDC}{17.6}}^2$
$x^2$	$=$	$930.25-309.76$
$x^2$	$=$	$620.49$
$sqrt(x^2)$	$=$	$sqrt620.49$	Get the square root of both sides
$x$	$=$	$24.9096…$ cm
$x$	$=$	$24.91$ m	Round off to $2$ decimal places

$24.91$ m

Question 3 of 3

Solve for

$y$ .

Round off answer to

$2$ decimal places

(10.33)m

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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).

$c=17$ m

$a=y$

$b=13.5$ m

${\color{#9a00c7}{a}}^2$	$=$	${\color{#00880a}{c}}^2-{\color{#007DDC}{b}}^2$	Pythagoras’ Theorem
${\color{#9a00c7}{y}}^2$	$=$	${\color{#00880a}{17}}^2-{\color{#007DDC}{13.5}}^2$
$y^2$	$=$	$289-182.25$
$y^2$	$=$	$106.75$
$sqrt(y^2)$	$=$	$sqrt106.75$	Get the square root of both sides
$y$	$=$	$10.3319$ m
$x$	$=$	$10.33$ m	Round off to $2$ decimal places

$10.33$ m

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Quiz summary

Information

1. Question

Hint

Excellent!

Finding a Side

Use $\large\textbf{-}$

2. Question

Hint

Keep Going!

Finding a Side

Use $\large\textbf{-}$

3. Question

Hint

Great Work!

Finding a Side

Use $\large\textbf{-}$

Quizzes

Find a Side 3

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Quiz summary

Information

1. Question

Hint

Excellent!

Finding a Side

Use -\large\textbf{-}

2. Question

Hint

Keep Going!

Finding a Side

Use -\large\textbf{-}

3. Question

Hint

Great Work!

Finding a Side

Use -\large\textbf{-}

Quizzes

Use $\large\textbf{-}$

Use $\large\textbf{-}$

Use $\large\textbf{-}$