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

Show answers

Answers

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.

Learn more about area of triangle on:

link

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

What’s the equation you are trying to solve to get x?

Answer from: Quest

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:30, janwesley3

Select all expressions that are equivalent to 2(3x + 7y). question 1 options: 6x + 14y 6x + 7y 1(6x + 14y)

Answers: 1

continue

Mathematics, 21.06.2019 23:30, paolaf3475

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3

Answers: 1

continue

Mathematics, 22.06.2019 00:30, ejones123

Select the correct answer. employee earnings per month($) 1 1,200 2 2,600 3 1,800 4 1,450 5 3,500 6 2,800 7 12,500 8 3,200 which measure of spread is best for the data in the table? a. range b. quartiles c. interquartile range d. mean absolute deviation

Answers: 2

continue

Mathematics, 22.06.2019 02:50, oopfloop2

Asap! i need this done today and i really don’t understand it. some one ! will mark

Answers: 1

continue

You know the right answer?

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