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Area of Non-Right Angled Triangles

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Area of Non-Right Angled Triangles 2

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Question 1 of 4

Find the area of the non-right angled triangle below.

Round your answer to one decimal place

(11.25) $m^{2}$ $m^2$

Question 2 of 4

Find the area of the non-right angled triangle below.

Round your answer to two decimal places

(472.61) $c m^{2}$ $cm^2$

Question 3 of 4

Find the area of the non-right angled triangle below.

Round your answer to

2

$2$ decimal places

(305.06) $c m^{2}$ $cm^2$

Question 4 of 4

Find the area of the non-right angled triangle below.

Round your answer to

2

$2$ decimal places

(92.66) $c m^{2}$ $cm^2$

$A$ $A$	$=$ $=$	$\frac{1}{2}$ $1/2$ $b$ $b$ $c$ $c$ $sin$ $sin$ $A$ $A$

	$=$ $=$	$\frac{1}{2} ($ $1/2($ $4.2$ $4.2$ $) ($ $)($ $7.1$ $7.1$ $) sin$ $)sin$ $131 °$ $131°$	Substitute the values

	$=$ $=$	$\frac{1}{2} (29.82) sin 131 °$ $1/2(29.82)sin131°$	Evaluate $sin$ $sin$ $131$ $131$ on your calculator

	$=$ $=$	$14.91 \times 0.7547096$ $14.91times0.7547096$
	$=$ $=$	$11.2527$ $11.2527$
	$=$ $=$	$11.25 m^{2}$ $11.25 m^2$	Rounded off to two decimal places

$A_{△}$ $A_triangle$	$=$ $=$	$\frac{1}{2}$ $1/2$ $b$ $b$ $c$ $c$ $sin$ $sin$ $A$ $A$

	$=$ $=$	$\frac{1}{2} ($ $1/2($ $33$ $33$ $) ($ $)($ $29$ $29$ $) sin$ $)sin$ $99 °$ $99°$	Substitute the values

	$=$ $=$	$\frac{1}{2} (957) sin 99 °$ $1/2(957)sin99°$	Evaluate $sin$ $sin$ $99$ $99$ on your calculator

	$=$ $=$	$478.5 \times 0.98769$ $478.5times0.98769$
	$=$ $=$	$472.6088$ $472.6088$
	$=$ $=$	$472.61 c m^{2}$ $472.61 cm^2$	Rounded off to two decimal places

$A_{△}$ $A_triangle$	$=$ $=$	$\frac{1}{2}$ $1/2$ $r$ $r$ $q$ $q$ $sin$ $sin$ $P$ $P$

	$=$ $=$	$\frac{1}{2} ($ $1/2($ $22$ $22$ $) ($ $)($ $29$ $29$ $) sin$ $)sin$ $73 °$ $73°$	Substitute the values

	$=$ $=$	$\frac{1}{2} (638) sin 73 °$ $1/2(638)sin73°$	Evaluate $sin$ $sin$ $73$ $73$ on your calculator
	$=$ $=$	$319 \times 0.9563$ $319times0.9563$
	$=$ $=$	$305.06 c m^{2}$ $305.06 cm^2$	Rounded off to $2$ $2$ decimal places

$A_{△}$ $A_triangle$	$=$ $=$	$\frac{1}{2}$ $1/2$ $k$ $k$ $l$ $l$ $sin$ $sin$ $J$ $J$

	$=$ $=$	$\frac{1}{2} ($ $1/2($ $16$ $16$ $) ($ $)($ $13$ $13$ $) sin$ $)sin$ $63 °$ $63°$	Substitute the values

	$=$ $=$	$\frac{1}{2} (208) sin 63 °$ $1/2(208)sin63°$	Evaluate $sin$ $sin$ $63$ $63$ on your calculator
	$=$ $=$	$104 \times 0.891007$ $104times0.891007$
	$=$ $=$	$92.66 c m^{2}$ $92.66 cm^2$	Rounded off to $2$ $2$ decimal places

Area of Non-Right Angled Triangles 2

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Quiz summary

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1. Question

Hint

Keep Going!

Area of a Non-Right Angled Triangle

2. Question

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Correct!

Area of a Non-Right Angled Triangle

3. Question

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Great Work!

Area of a Non-Right Angled Triangle

4. Question

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Excellent!

Area of a Non-Right Angled Triangle

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