Respuesta :

The answer is 036 units

A perimeter is the sum of all sides of a closed figure.

The points P(-2,9) and R(-2,-3) have the same x-coordinate.

Similarly, the points Q(7,-3) and R(-2,-3) have the same y coordinate.

Therefore the line PR is perpendicular to line RQ

In other words, PRQ is a triangle that is right angled at R

Hence perimeter of the right-angled triangle =P R+R Q+P Q

Distance PR=√-2-(-2)^2+9-(-3)^2=√144=12

Distance QR=√7-(-2)^2+(-3-(-3)^2=√81=9

Distance PQ=√(-2-7)^2+(9-(-3)^2=√225=15

The perimeter of the right-angled triangle is:

Perimeter of the right-angled triangle PQR =12+9+15=36

What is the perimeter?

  • It is the sum of all sides of a closed figure.
  • It is also defined as the total length of the boundary.

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