In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent. If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN? 3 in. 7 in. 20 in. 24 in.

20 inches

Step-by-step explanation:

It is because QS and PN are congruent.

5.385164807

or

5.4

Step-by-step explanation:

Use the Distance Formula:

First, do (-4 - -2) exponent 2 + (2 - -3) exponent 2.

So you get: (-2) exponent 2 + (5) exponent 2.

Then, you do -2 times -2, since there is 2 as an exponent. You also do 5 times 5.

So you get: 4 + 25

Next, you add 4 + 25 and get 29.

Finally, you find the square root of 29, which is 5.385164807, or you can round it.

( I hope that is not too confusing. I couldn't do the exponents, so I just wrote it as a word. The whole thing was done with the Distance Formula.)