Let be a right triangle with length of side and hypotenuse

MATHEMATICS · Single correct · CBSE · Mathematics · Proportional Reasoning · Proportional Reasoning

Problem

Let

ABC

be a right triangle with length of side

AB = 3

and hypotenuse

AC = 5

. If

D

is a point on

BC

such that

\frac{BD}{DC} = \frac{AB}{AC}

, then

AD

is equal to (1)

\frac{4\sqrt{3}}{3}

(2)

\frac{3\sqrt{5}}{2}

(3)

\frac{4\sqrt{5}}{3}

(4)

\frac{5\sqrt{3}}{4}

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