Question

Find the perimeter of the triangle with these vertices. (−5,4), (3,1,) ,( −5,1) Give an exact answer (not a decimal approximation). Simplify your answer as much as possible.

Answer 1

Answer:

The answer to your question is Perimeter = 11 + $\sqrt{73}$

Step-by-step explanation:

Data

P (-5, 4)

Q (3, 1)

R (-5, 1)

Process

Calculate the distance between the points and sum up the results

a)

dPQ = $\sqrt{(-5 - 3)^{2} + (4 - 1)^{2}}$

dPQ = $\sqrt{(-8)^{2} + 3^{2}}$

dPQ = $\sqrt{64 + 9}$

dPQ = $\sqrt{73}$

dQR = $\sqrt{(-5 - 3)^{2} + (1 - 1)^{2}}$

dQR = $\sqrt{8^{2}}$

dQR = 8

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

dPR = $\sqrt{3^{2}}$

dPR = 3

b)

Perimeter = $\sqrt{73}$ + 8 + 3

Perimeter = 11 + $\sqrt{73}$