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In an isosceles right-angled triangle ABC, right-angled at B, the angle bisector of ∠A is AN which cuts the median BO at point M. If point O lies on the hypotenuse such that OM = 20 cm, then find the value of AB.

In an isosceles right-angled triangle ABC, right-angled at B, the angle bisector of ∠A is AN which cuts the median BO at point M. If point O lies on the hypotenuse such that OM = 20 cm, then find the value of AB. Correct Answer <span style="color: rgb(32, 33, 36);">√2[20</span><span style="color: rgb(32, 33, 36);">(1 + √2)]</span> cm

Calculation:

Draw a diagram according to the given data.

Hint

Use the angle bisector theorem AB/AO = BM/MO.

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