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If angle A and angle B are acute angle such that cosA =cosB , then show that ang. A =ang. B

Posted by Vaishnavi Srivastava 7 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Prem Choudhary 7 years, 8 months ago

<hr />

Draw a triangle ABC in which BC should be Base and triangle is at right angle at ang.C

Now in triangle ABC

Cos A= side adjacent A/Hypotenuse

= AC/AB

Similarly,

COS B = side adjacent B/Hypotenuse

= BC/AB

Given that

COS A= COS B

AC/AB=BC/AB

AC=BC

IN A TRIANGLE OPPOSITE SIDES ARE EQUAL

ANG B= ANG A

PROVED..

6Thank You

ANSWER

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