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Area of Non-Right Angled Triangles

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Area of Non-Right Angled Triangles 1

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Question 1 of 4

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

Round your answer to the nearest

$cm^2$

(253) $cm^2$

Question 2 of 4

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

Round your answer to one decimal place

(372.1) $cm^2$

Question 3 of 4

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

Round your answer to one decimal place

(120.5) $mm^2$

Question 4 of 4

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

Round your answer to

$1$ decimal place

(152.9) $cm^2$

$A_triangle$	$=$	$1/2$ $b$ $c$ $sin$ $A$

	$=$	$1/2($ $35$ $)($ $22$ $)sin\color(purple)(41°)$	Substitute the values

	$=$	$1/2(770)sin41°$	Simplify

	$=$	$385timessin41°$	Evaluate $sin$ $41$ on your calculator
	$=$	$252.5827$
	$=$	$253cm^2$	Rounded off to the nearest $cm^2$

$A$	$=$	$1/2$ $a$ $c$ $sin$ $B$

	$=$	$1/2($ $33$ $)($ $24$ $)sin\color(purple)(110)°$	Substitute

	$=$	$1/2(792)sin110°$	Evaluate $sin$ $110$ on your calculator

	$=$	$396times0.9396926$
	$=$	$372.118$
	$=$	$372.1 cm^2$	Rounded off to one decimal place

$A_triangle$	$=$	$1/2$ $b$ $c$ $sin$ $A$

	$=$	$1/2($ $18$ $)($ $14$ $)sin$ $73°$	Substitute the values

	$=$	$1/2(252)sin73°$	Evaluate $sin$ $73$ on your calculator

	$=$	$126times0.956305$
	$=$	$120.494$
	$=$	$120.5 mm^2$	Rounded off to one decimal place

$A_triangle$	$=$	$1/2$ $a$ $c$ $sin$ $B$

	$=$	$1/2($ $18$ $)($ $27$ $)sin$ $39°$	Substitute the values

	$=$	$1/2(486)sin39°$	Evaluate $sin$ $39$ on your calculator

	$=$	$243times0.62932$
	$=$	$152.925$
	$=$	$152.9 cm^2$	Rounded off to one decimal place

Area of Non-Right Angled Triangles 1

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Quiz summary

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1. Question

Hint

Well Done!

Area of a Non-Right Angled Triangle

2. Question

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Excellent!

Area of a Non-Right Angled Triangle

3. Question

Hint

Fantastic!

Area of a Non-Right Angled Triangle

4. Question

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Nice Job!

Area of a Non-Right Angled Triangle

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