Question 45

Δ DEF is right angled at E. If m ∠D = 30°. What is the length (in cm) of DE, if EF = 2√3 cm?

Solution

Given : EF = 2√3 cm and $$\angle$$ D = $$30^\circ$$

To find : DE = ?

Solution : In $$\triangle$$ DEF,

=> $$cot(30^\circ)=\frac{DE}{EF}$$

=> $$\sqrt3=\frac{DE}{2\sqrt3}$$

=> $$DE=\sqrt3\times2\sqrt3=6$$ cm

=> Ans - (C)

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