Respuesta :

24jxi
So this is a common type of question. Don't overthink this, this is an isosceles triangle, meaning that the length of PR and QR are the same. 


So set it up like this : 5n=32+n

Minus n on both sides, you get 4n=32

Divide by two on both sides, n=8

Now, PR= 5n so it would be 8*5

So the length of PR is 40 units

sandlee09

Answer:

The Length of PR is 40.

Step-by-step explanation:

Seeing since this is an Isosceles Triangle (triangle that has two sides of equal length) both PR and QR are equal in length. With this being the case we can equal them in an equation and solve for the variable n.

[tex]5n = 32+n[/tex]

[tex]4n = 32[/tex] .... subtract n from both sides.

[tex]n = 8[/tex] ... divide both sides by 4

This gives us a value of 8 for n . Now we can plug that value into any of the two side equations and get a value for the length of both PR and QR.

[tex]PR = 5(n)[/tex]

[tex]PR = 5(8)[/tex]

[tex]PR = 40[/tex]

So the Length of PR is 40.

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