JEE MainMathematicsModerateProperties of triangle

In a ∆ABC, b=12 units, c=5 units and ∆ =30 square units. If d is
the distance between vertex A and in center of the triangle then the
value of d^4 is
∆ABC, esa b=12 d f=Hkqt ds
vUrdsUæ A

Show answer and solution

Al = rcosec\frac{A}{2} = \frac{\Delta}{S}cosec\frac{A}{2}

\Delta = \frac{1}{2}bcsinA

sinA = 1

\Rightarrow A = \frac{\pi}{2}

a^{2} = b^{2} + c^{2}

⇒ a = 13

Al = 2\sqrt{2}\ units\

bdkbZ

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx

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