The coordinates of the vertices of an isosceles triangle are shown. The x-coordinate of one of the vertices is missing. Which expression represents the missing x-coordinate?

Answers
Given: The coordinates of the vertices of an isosceles triangle are shown. The x-coordinate of one of the vertices is missing.
To Find : Which expression represents the missing x-coordinate?
Solution:
Draw an altitude from Vertex to base
base is on x axis
Hence altitude will be parallel to y axis
so coordinate of base point of altitude will be ( k, 0)
where k is the x coordinate of vertex ,
Altitude from vertex to base in isosceles triangle bisects the base
Hence k = (a + b)/2
so x coordinate of vertex = ( a + b)/2
( a + b)/2 represents the missing x-coordinate
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