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ICSE Class 9 Answered

ABC is an isosceles triangle with AB=AC. D,E and F are midpoints of the sides BC,AB and AC respectively.Prove that the line segment AD is perpendicular to EF and is bisected by it.
Asked by laxmi.agarwal055 | 21 Feb, 2018, 07:02: PM
answered-by-expert Expert Answer
begin mathsize 16px style let space AD space and space EF thin space intersect space at space straight O now space in space increment ABD space and space increment ACD AB equals AC so space angle ADB equals angle ADC equals 90 degree angle BAD equals angle CAD so space in space increment EAO space and space increment FAO angle EAO equals angle FAO also space AE equals AF AO space common so space by space SAS space triangles space are space congruent so space angle EOA equals angle FOA equals 90........... space linear space pair space left parenthesis cpct right parenthesis EO equals FO space.... cpct end style
Answered by Arun | 22 Feb, 2018, 04:27: PM

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ICSE 9 - Maths
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