Question

in an obtuse angled triangle ABC angle a is obtuse and o is orthocenter.if angle BOC = 54 degree then angle BAC = ??

Answer 1

In an obtuse-angled triangle ABC, angle A is the obtuse angle and O is the orthocenter. If angle BOC = 54 degrees, what is angle BAC?

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1 ANSWER



Ajit Athle, B.Tech, MS Mathematics & Money Management, Indian Institutes of Technology (1972)

Answered May 19, 2017 · Author has 274answers and 103.2k answer views

Let AP, BQ and CR be the altitudes that concur in O, the orthocentre which is outside the triangle since /_A is obtuse. Now /_OBQ =90°-54°=36°. Likewise /_OCR=36°. Let /_BOP=x & /_COP=y. /_BAC=/_BAP+/_CAP=36°+x+36°+y=72°+(x+y)=(72+54)=126°

1.2k Views · 

Answer 2

in quad aqor bu angle sum prop /_ a = 360-(90+90+54)= 126

/_ bac = /_ qar.......voa

thus ans is 126