D and E are respectively the midpoints of the sides AB and AC of a triangle ABC and BC is equal to 6 CM if DE perpendicular to BC then the length of the DE in centimetre is
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Step-by-step explanation:
DE can't be perpendicular it can be parallel to BC.
In triangleADE and triangle ABC.
DE ll BC
Angle ADE =Angle ABC...(corresponding angles.)
Angle AED =Angle ACB...(corresponding angles.)
By AA test of similarity both triangles are similar.
But,AD=1/2 × AB...(D is the midpoint)
DE=1/2 BC...(c.s.s.t.)
=1/2×6
=3cm.
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