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Answer:
2√39 cm
Explanation:
ΔXYZ is an isosceles triangle & XY = XZ, therefore:
YX' = X'Z
= 20 ÷ 2
= 10 cm
ΔXYZ' is a right triangle, therefore:
XY² = YX'² + XX'²
16² = 10² + XX'²
XX'² = 256 - 100
XX' = √156
= 2√39 cm
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