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Sum of Trigonometric Ratios in Terms of Their Product

A square DE...

Question

A square $D E A F$ is constructed inside a $30^{\circ} - 60^{\circ} - 90^{\circ}$ triangle ABC with the hypotenuse $B C$ D $o n s i d e$ BC $,$ E $o n s i d e$ AC $a n d$ F $o n s i d e$ AB$. The length of the side of the square is

3 - \sqrt{3}

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3 - \sqrt{2}

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2

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1.5

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Solution

The correct option is A $3 - \sqrt{3}$

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Similar questions

30^{\circ} - 60^{\circ} - 90^{\circ}

Construct a right-angled triangle ABC such that side $¯ ¯¯¯¯¯¯ ¯ B C = 48 c m$ and hypotenuse $¯ ¯¯¯¯¯¯ ¯ A C = 50 c m$ .

A B C

A B =

10 \sqrt{3}

B C = 20

∠ A = 90^{\circ}

A B D

A B

D

C

C D

A B C

A

(- 1, 0), ∠ A = \frac{2 π}{3}, A B = A C

A B

x -

B C = 4 \sqrt{3}

B C

A B

A B C

A B D

A B

¯ ¯¯¯¯¯¯ ¯ B C = 1, ¯ ¯¯¯¯¯¯ ¯ A C = b

¯ ¯¯¯¯¯¯¯ ¯ A D = 2

¯ ¯¯¯¯¯¯¯ ¯ B D

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