Mathematics: Triangle abc is shown on the grid. what is the perimeter of triangle abc? 9 + units 9 + units 9 + units 9 + units

Triangle abc is shown on the grid. what is the perimeter

mikaelalcool49

04.01.2022

The third option is correct and the perimeter of ABC is $9+\sqrt{41}$ .

Explanation:

The vertices of the triangle are A(-1,5), B(4,5) and C(-1,1).

Use distance formula to find the length of all sides of the triangle.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(4-(-1))^2+(5-5)^2}= \sqrt{(4+1)^2+0} =5$

$BC=\sqrt{(-1-4)^2+(1-5)^2}= \sqrt{25+16}= \sqrt{41}$

$AC=\sqrt{(-1-(-1))^2+(1-5)^2}= \sqrt{0+16}=4$

Therefore the length of sides are $5,\sqrt{41},4$ units.

Perimeter is the sum of length of all sides.

Perimeter of ABC is,

S=AB+BC+AC

$S=5+\sqrt{41}+4$

$S=9+\sqrt{41}$

Therefore, the third option is correct and the perimeter of ABC is $9+\sqrt{41}$ units.

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jayjay3787

19.08.2021

Hello!!!

Step-by-step explanation:

The first step for solving this expression is to remove the first set of parenthesis.

-8.3x+4 - (3.2x-5)

Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following

-8.3x + 4 - 3.2x + 5

Collect the like terms with an x variable.

-11.5x + 4 + 5

Lastly, add the number to get your final answer

-11.5x + 9

Hope that helps you dear...

Have a nice day..

Buhbye!

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