Practicing Success
In a ΔABC right angled at A, if ∠ABC=60° and AC = 4 units, then length of BC (in units) is: |
$\sqrt{3}$ $\frac{8}{\sqrt{3}}$ 8 $\frac{4}{\sqrt{3}}$ |
$\frac{8}{\sqrt{3}}$ |
Given AC, P = 4 ∠ABC = 60º Thus, Tan ∠B = 4/AB (Tan 60º) (AB) = 4 AB = 4√3 \( {BC}^{2} \) = \( {AC}^{2} \) + \( {AB}^{2} \) \( {BC}^{2} \) = \( {4}^{2} \) + (4/√3)^2 = 16 + 16/3 BC = √(64/3) = $\frac{8}{\sqrt{3}}$ The correct answer is Option (2) → $\frac{8}{\sqrt{3}}$ |