AABC has acute angles and point X is inside AABC. Points P and R are on AB, points T and Q are on BC, and points S and U are on

Question

AABC has acute angles and point X is inside AABC. Points P and R are on AB, points T and Q are on BC, and points S and U are on CA so that PQ passes through X and is parallel to AC, RS passes through X and is parallel to BC, and TU passes through X is parallel to BA. Prove that √|√△ABC|=√△XPR+√△XQT+√△XSUI.

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