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Area of Non-Right Angled Triangles 1Area of Non-Right Angled Triangles 1
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Question 1 of 4
1. Question
Find the area of the non-right angled triangle below.
Round your answer to the nearest `cm^2`- (253) `cm^2`
Hint
Help VideoCorrect
Well Done!
Incorrect
Area of a Non-Right Angled Triangle
`A_triangle=1/2``b``c``sin``A`where:
`a` is the side opposite angle `A``b` is the side opposite angle `B`
`c` is the side opposite angle `C`First, label the triangle.
Next, rewrite the Area formula based on the given values of the triangle.The formula needs two sides and one angle in between them (included angle).
`A_triangle=1/2``b``c``sin``A`Finally, substitute the values to the revised formula and solve for the area.`b=35`cm`c=22`cm`A=41°``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` `253 cm^2` -
Question 2 of 4
2. Question
Find the area of the non-right angled triangle below.
Round your answer to one decimal place- (372.1) `cm^2`
Hint
Help VideoCorrect
Excellent!
Incorrect
Area of a Non-Right Angled Triangle
`A_triangle=1/2``a``c``sin``B`where:
`a` is the side opposite angle `A``b` is the side opposite angle `B`
`c` is the side opposite angle `C`First, label the triangle.
Next, rewrite the Area formula based on the given values of the triangle.The formula needs two sides and one angle in between them (included angle).
`A_triangle=1/2``a``c``sin``B`Finally, substitute the values to the revised formula and solve for the area.`a=33`cm`c=24`cm`B=110°``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 `372.1 cm^2` -
Question 3 of 4
3. Question
Find the area of the non-right angled triangle below.
Round your answer to one decimal place- (120.5) `mm^2`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Area of a Non-Right Angled Triangle
`A_triangle=1/2``b``c``sin``A`where:
`a` is the side opposite angle `A``b` is the side opposite angle `B`
`c` is the side opposite angle `C`First, label the triangle.
Next, rewrite the Area formula based on the given values of the triangle.The formula needs two sides and one angle in between them (included angle).
`A_triangle=1/2``b``c``sin``A`Finally, substitute the values to the revised formula and solve for the area.`b=18`mm`c=14`mm`A=73°``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 `120.5 mm^2` -
Question 4 of 4
4. Question
Find the area of the non-right angled triangle below.
Round your answer to `1` decimal place- (152.9) `cm^2`
Hint
Help VideoCorrect
Nice Job!
Incorrect
Area of a Non-Right Angled Triangle
`A_triangle=1/2``a``c``sin``B`where:
`a` is the side opposite angle `A``b` is the side opposite angle `B`
`c` is the side opposite angle `C`First, label the triangle.
Next, rewrite the Area formula based on the given values of the triangle.The formula needs two sides and one angle in between them (included angle).
`A_triangle=1/2``a``c``sin``B`Finally, substitute the values to the revised formula and solve for the area.`a=18`cm`c=27`cm`B=39°``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 `152.9 cm^2`
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