A geometry problem by Rahil Sehgal

Geometry Level pending

Let 𝐴𝐡𝐢𝐷 be a convex quadrilateral with perpendicular diagonals.

If 𝐴𝐡 = 20, 𝐡𝐢 = 70 and 𝐢𝐷 = 90, then what is the value of 𝐷𝐴?

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