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GuDViN [60]
3 years ago
5

A(-2,3)

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

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

Find the distance AB

we have

A(-2,3),B(3,0)

substitute in the formula

d=\sqrt{(0-3)^{2}+(3+2)^{2}}

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

d_A_B=\sqrt{34}\ units

step 2

Find the distance BC

we have

B(3,0),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}

d=\sqrt{(-3)^{2}+(-7)^{2}}

d_B_C=\sqrt{58}\ units

step 3

Find the distance AC

we have

A(-2,3),C (-4,-3)

substitute in the formula

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

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

d_A_C=\sqrt{40}\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=\sqrt{34}+\sqrt{58}+\sqrt{40}

P=19.8\ units

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