In the trapezoidal ABCD, if ad ‖ BC, diagonal AC ⊥ BD, and AC = 6cm, BD = 8cm, the length of the trapezoidal median line is equal to

In the trapezoidal ABCD, if ad ‖ BC, diagonal AC ⊥ BD, and AC = 6cm, BD = 8cm, the length of the trapezoidal median line is equal to

The extension line of BC intersects with e because of AD / / BC, de / / AC so de = AC = 6cm, CE = ad because de / / AC, AC ⊥ BD so de ⊥ BD median line of trapezoid = 1 / 2 (AD + BC) = 1 / 2 (CE + BC) = 1 / 2 be because de ⊥ BD so be = BD square + de square so be = 10cm