We know that the two trinagles are right-angled triangles so,
2,5² + a² = 4²
6,25 + a² = 16
16 – 6,25 = a²
9,75 = a²
a = √9.75
We know that the quadrilateral is a rectangle
so the opposite sides have the same length
So
8² + a² = 8,5²
16 + a² = 72,25
72.25 -16 = a²
a² = 56,25
a = √56.25
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