Question

Please answer this question now in two minutes

Answer 1

p = 100

Explanation:

If Q and T are midpoints, then the triangles URS and UQT are similar triangles and verify the following proportions:

`(QT)/(RS) =(UQ)/(UR) =(UT)/(US) =(1)/(2)`

and all should equal 1/2 because Q and T are midpoints.

Then we study in particular the proportion:

`(QT)/(RS) =(1)/(2)`

since we know both segments can be expressed in terms of "p" as indicated in the problem:

`(QT)/(RS) =(1)/(2)\\(p-87)/(p-74) =(1)/(2)\\2(p-87)=p-74\\2p-174=p-74\\2p-p=174-74\\p=100`