TS EAMCET · Maths · Properties of Triangles
In , if and , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given that, tanA-B2=14tanA+B2 ⇒sinA-B2cosA-B2=14sinA+B2cosA+B2 ⇒4sinA-B2cosA+B2=sinA+B2cosA-B2 ⇒2sinA-sinB=12sinA-sin-B ⇒4sinA-4sinB=sinA+sinB ⇒3sinA=5sinB ⇒5sinA=3sinB [From sine rule] ⇒asinA=bsinB ∴b=3 Now, a2-b2=52-32 =25-9 =16…
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