Mathematics, 15.04.2020 19:25 Gabby1128

Given ΔBUG as shown with B(-3,-1), U(-3,3) and G(4,1). Find the area of triangle BUG.

Answers: 2

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Answer from: naysia2006

Using symmetric expression, the area of triangle BUG is: 14 sq. units.

Recall:

The area of a triangle with coordinates of the vertices given can be calculated using the symmetric expression given as: $Area = \frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)]$ Let,

$B(-3,-1) = (x_1, y_1)\\\\U(-3,3) = (x_2, y_2)\\\\G(4,1) = (x_3, y_3)$

Plug in the values into $Area = \frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)]$

$Area = \frac{1}{2} [-3(3 - 1) + (-3)(1 - (-1)) + 4(-1 - 3)]\\\\Area = \frac{1}{2} [-3(2) + (-3)(2) + 4(-4)]\\\\Area = \frac{1}{2} [-6 + (-6) + (-16)}\\\\Area = \frac{1}{2} [-6 - 6 -16]\\\\Area = \frac{1}{2} [-28]\\\\\mathbf{Area = 14 sq. units}$

Therefore, using symmetric expression, the area of triangle BUG is: 14 sq. units.

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Answer from: coreybaldwin22

The area of triangle BUG is 14 square units, it is obtained from the points of B(-3,-1), U(-3,3) and G(4,1).

Step-by-step explanation:

The given is,

B(-3,-1), U(-3,3) and G(4,1)

Step:1

Formula for area of triangle with coordinates,

$A=\frac{1}{2} [x_{1} (y_{2} - y_{3} ) + x_{2} ( y_{3} - y_{1} )+x_{3} (y_{1} - y_{2} )]$ ..............(1)

Where, $(x_{1} ,y_{1} )$ , $(x_{2} ,y_{2} )$ and $(x_{3} ,y_{3} )$ are the coordinates of triangle

From the given values,

B ( -3, -1 ) = $(x_{1} ,y_{1} )$

U ( - 3, 3 ) = $(x_{2} ,y_{2} )$

G ( 4 , 1 ) = $(x_{3} ,y_{3} )$

Equation (1) becomes,

$A=\frac{1}{2} [ -3(3-1)+(3)(1-(-1))+4(-1-3)]$

$=\frac{1}{2} [ -3(2)+(3)(1+1)+4(-4)]$

$=\frac{1}{2} [ -6 -6 - 16 ]$

$=\frac{1}{2} [ -28 ]$

= - 14 (Negative sign indicates clockwise traversal)

A = 14 square units

Result:

The area of triangle BUG is 14 square units, it is obtained from the points of B(-3,-1), U(-3,3) and G(4,1).

Given ΔBUG as shown with B(-3,-1), U(-3,3) and G(4,1). Find the area of triangle BUG.

Answer from: Quest

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

Answer from: Quest

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

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Given ΔBUG as shown with B(-3,-1), U(-3,3) and G(4,1). Find the area of triangle BUG....

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