MATH6058 Pythagoras' Theorem and naming sides of right angled triangle

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Question 1

Write Adjacent, Opposite or Hypotenuse in the label answer boxes that correspond to the triangle above them, in parts(a - d).

The angle labelled "ang" is the important one in each case.

In parts(e - g), find the length of the unknown side using Pythagorass Theorem.

Solve the following mensuration questions to 2 decimal places:

Note: You may need to scroll down to see the diagrams.

a)

Write the name of each side in the correct box:

Note: The bottom right angle is a right angle (90 $^{\circ}$ ).

x = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Opposite}}$

y = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Hypotenuse}}$

z = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Adjacent}}$

The hypotenuse is the side across from the right angle.

The line touching the important angle is called it's adjacent line.

The line opposite the important angle is called it's opposite line.

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b)

Write the name of each side in the correct box:

Note: The bottom left angle is a right angle (90 $^{\circ}$ ).

x = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Opposite}}$

y = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Adjacent}}$

z = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Hypotenuse}}$

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c)

Write the name of each side in the correct box:

Note: The bottom left angle is a right angle (90 $^{\circ}$ ).

x = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Hypotenuse}}$

y = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Adjacent}}$

z = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Opposite}}$

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d)

Write the name of each side in the correct box:

Note: The top right angle is a right angle (90 $^{\circ}$ ).

x = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Adjacent}}$

y = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Opposite}}$

z = interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\texttt{Hypotenuse}}$

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e)

Find the value of x:

Note: The bottom right angle is a right angle (90 $^{\circ}$ ).

x = Round your answer to 2 decimal places.Expected answer: mm

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f)

Find the value of x:

Note: The bottom left angle is a right angle (90 $^{\circ}$ ).

x = Round your answer to 2 decimal places.Expected answer: mm

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g)

Find the value of x:

Note: The bottom left angle is a right angle (90 $^{\circ}$ ).

x = Round your answer to 2 decimal places.Expected answer: mm

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Advice

$x^2 = \var{lent1}^2 + \var{lent2}^2$

$x = \sqrt(\var{lent1}^2 + \var{lent2}^2)$

$x = \var{ans1}$

$\var{l21}^2 = x^2 + \var{l22}^2$

$x^2 = \var{l21}^2 - \var{l22}^2$

$x = \sqrt(\var{l21}^2 - \var{l22}^2)$

$x = \var{ans2}$

$\var{l32}^2 = x^2 + \var{l31}^2$

$x^2 = \var{l32}^2 - \var{l31}^2$

$x = \sqrt(\var{l32}^2 - \var{l31}^2)$

$x = \var{ans3}$

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MATH6058 Pythagoras' Theorem and naming sides of right angled triangle

a)

b)

c)

d)

e)

f)

g)

Advice