Question

If right angled triangle the length of median drawn on the diagonal is of the diagonal

Answer 1

Step-by-step explanation:

E is the mid point. BC so that AE=9 units. D is the midpoint on AD so that BD=13 units.As BC=2EC and AC=2DC and DCE 1) a corner of both it follows that ABC and DEC are similar and AB=2DE we therefore only need to find length of DELet CE=x CD=

Pythagoras give,BD 2 =CD 2 +BC 2⇒(13) 2 =y 2 +

=(AC) 2 +(CE) 2 9 2 =(2y) 2 +x 2 x 2 +4y2=169____(1)

=81⟶(2)If we add (1) and (2) we get5x 2 +5y 2 =250⇒x 2 +y 2 =50DE 2 =x 2 +y 2 =50=2×25DE=5 2 AB=2DE=10 2or Ca 14,14

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