Respuesta :

Answer: 34.21

Step-by-step explanation:

Answer:

1. PO = 21

2. LO = 27

3. PL = 34.2

Step-by-step explanation:

1. Since P is the incenter, that means it is equidistant to each side at a right angle. As a result PN, PO, and PM are equal to each other.

We know that PN is 21. Since PN and PO are equal to one another, PO = 21.

2. ML is equal to LO. ML is 27, so LO is also 27.

3. To get PL you will have to do the Pythagorean Theorem. Square the legs and set it equal to the hypotenuse squared.

* It should be: 27^2 + 21^2 = x^2.

Once you solve and round to the nearest tenth, you will get 34.2.

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