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

Posted by Aayush Ranjan 5 years, 4 months ago

CBSE > Class 10 > Mathematics

5 answers

Hk Honey 5 years, 4 months ago

Hey anshika

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Hk Honey 5 years, 4 months ago

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Sakshi Sehrawat 5 years, 4 months ago

In right triangle ABC CosA= AC/AB AND CosB= BC/AB BUT CosA= CosB (given) AC/AB=BC/AB AC=BC THEREFORE Angle A = Angle B ( angle opposite to equal sides are equal

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Aradhana Hota 5 years, 4 months ago

Hii Anshika

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Gaurav Seth 5 years, 4 months ago

Let us consider two right angle triangles right angled at Q and S respectively.
Now,

But cos A = cos B (given)
∴



Let

In ΔRAS,
Using Pythagoras theorem, we have

In APBQ,
Using Pythagoras theorem, we have

So,
Comparing (i) and (ii), we get

So, by using SSS similar condition

∴

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Don't post personal information, mobile numbers and other details.
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Posted by Hari Anand 5 months, 1 week ago

CBSE > Class 10 > Mathematics