Question

Find UV.
Picture below

Answer 1

The triangles QUR and VUR are congruent, by ASA.

RU is a common side,

∠QRU =∠VRU

∠Q=∠V=90⁰, so ∠QUR =∠VUR.

The triangles are congruent, so their corresponding sides are congruent also.

QU =VU

5x+9 = 7x+1

2x = 8

x=4,

so

|UV| =7x+1=7*4+1=29

|UV| =29