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liraira [26]
2 years ago
12

4/5(21/4+51/2)-2/5÷1/5​

Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer:

22.6

Step-by-step explanation:

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Read 2 more answers
How to find the perimeter of the triangle
Sliva [168]

Answer:

A. 26.2

Step-by-step explanation:

To find the perimeter of the triangle, you have to find the distances of all three lines and add them up.

<u>Line AB</u>

Let's start off by finding the distance of line AB.

We will use the formula, d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}.

Point A is (-2,5) and Point B is (4,-3).

To substitute the values, it will get to d = \sqrt{(4--2)^{2}+(-3-5)^{2}} which in other words is d = \sqrt{(4+2)^{2}+(-3-5)^{2}}.

Now we have to solve the parenthesis to get d = \sqrt{(6)^{2}+(-8)^{2}}.

Now we have to solve the exponents which would get to d = \sqrt{36+64}.

Now we have to simplify the square root to d = \sqrt{100}. In other words, that is d = 10.

Line AB = 10

<u>Line BC</u>

Now let's find the distance of line BC.

We will use the same formula, d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}.

Point B is (4,-3) and Point C is (0,-6).

To substitute the values, it will get to d = \sqrt{(0-4)^{2}+(-6--3)^{2}} which in other words is d = \sqrt{(0-4)^{2}+(-6+3)^{2}}.

Now we have to solve the parentheses to get d = \sqrt{(-4)^{2}+(-3)^{2}}.

Now we have to solve the exponents which would get to d = \sqrt{16+9}.

Now we have to simplify the square root to d = \sqrt{25}. In other words, that is d = 5.

Line BC = 5.

<u>Line AC</u>

Now let's fine the distance of line AC.

We will use the same formula, d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}.

Point A is (-2,5) and Point C is (0,-6).

To substitute the values, it will get to d = \sqrt{(0--2)^{2}+(-6-5)^{2}} which in other words is d = \sqrt{(0+2)^{2}+(-6-5)^{2}}.

Now we have to solve the parentheses to get d = \sqrt{(2)^{2}+(-11)^{2}}.

Now we have to solve the exponents which would get to d = \sqrt{4+121}.

Now we have to simplify the square root to d = \sqrt{125}. In other words, that is d = 5\sqrt{5}. To round that, d = 11.2.

Line AC = 11.2.

<u>Perimeter of Triangle ABC</u>

Perimeter of Triangle ABC = Line AB + Line BC + Line AC.

Perimeter of Triangle ABC = 10 + 5 + 11.2

Perimeter of Triangle ABC = 26.2

Hope this helped! If not, please let me know <3

3 0
3 years ago
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