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kykrilka [37]
3 years ago
6

What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit? 20.6 units 22.7 units 25.6

units 27.6 units

Mathematics
2 answers:
a_sh-v [17]3 years ago
4 0

we know that

the perimeter of a polygon is the sum of the length sides

in this problem we have a triangle

so

the polygon has three sides

Let

A(-5,4)\\B(1,4)\\C(3,-4)

the perimeter is equal to

P=AB+BC+AC

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Step 1

<u>Find the distance AB</u>

A(-5,4)\\B(1,4)

substitutes the values in the formula

d=\sqrt{(4-4)^{2}+(1+5)^{2}}

d=\sqrt{(0)^{2}+(6)^{2}}

dAB=6\ units

Step 2

<u>Find the distance BC</u>

B(1,4)\\C(3,-4)

substitutes the values in the formula

d=\sqrt{(-4-4)^{2}+(3-1)^{2}}

d=\sqrt{(-8)^{2}+(2)^{2}}

d=\sqrt{68}

dBC=8.25\ units

Step 3

<u>Find the distance AC</u>

A(-5,4)\\C(3,-4)

substitutes the values in the formula

d=\sqrt{(-4-4)^{2}+(3+5)^{2}}

d=\sqrt{(-8)^{2}+(8)^{2}}

d=\sqrt{128}

dAC=11.31\ units

Step 4

<u>Find the perimeter</u>

the perimeter is equal to

P=AB+BC+AC

substitutes the values

P=6+8.25+11.31=25.56\ units=25.6\ units

therefore

<u>the answer is</u>

25.6\ units

Vera_Pavlovna [14]3 years ago
3 0
11.3 plus 6 plus 8.2 = 25.5
 
The perimeter is 25.5
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