In the figure below trianglepqm and triangleqrp are right triangles. the measure of lineqm is 6 and the measure of lineqp is 8. what is the measure of line pr?

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

Use pythagoras formula for triangle PQM.

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

                  .....(1)

Use pythagoras formula for triangle MQR.

       .... (2)

From equation (1) and (2) we get

Therefore length of PR is 6.4 units and option 4 is correct.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2