In the diagram below, what is the length of ST?

If sides SX=5,SY=10,XU=4,YT=x then the length of ST=18.
A triangle is a two dimensional figure having three sides, three angles, three vertex. Th sum of all the angles is equal to 180°.
We have been given SX=5, XU=4,SY=10 and we are required to find the length of ST. We can write the sides as under:
SX/SU=SY/T
SX=5,SU=5+4=9,SY=10,ST=10+x
5/9=10/(10+x)
Solving this for the value of x.
5(10+x)=10*9
50+5x=90
5x=90-50
x=40/5
x=8
We know that ST=10+x.
We have to put the value of x in ST.
ST=10+8
=18
Hence if sides are SX=5,SY=10,XU=4,YT=x then the length of ST=18.
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