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if angle A & angle B are acute angle such that cosA=cosB,then show angle A=angle B
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Most Upvoted Answer
if angle A & angle B are acute angle such that cosA=cosB,then show ang...
Let's take a right Triangle ABC, in which angle A and Angle B are acute angles,
given that CosA=CosB---(1),
or, AB/AC=AB/BC,
AC=BC,
since angle opposite to equal sides are equal,
angleA=angle B
given that CosA=CosB---(1),
or, AB/AC=AB/BC,
AC=BC,
since angle opposite to equal sides are equal,
angleA=angle B
Community Answer
if angle A & angle B are acute angle such that cosA=cosB,then show ang...
In right triangle ABC,
cosB=B/H=BC/AB & cosA=B/H=AC/AB
Also, cosA= cosB (Given)
=》 AC/AB = BC/AB
=》 AC = BC
=》 angleA = angleB ( since angles opposite to equal sides are equal.)
Hence, proved.
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