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Quantitative Aptitude

Length Based Approach

Triangle PQR ...

Question

Triangle PQR is an equilateral with sides of length 5 units. O is any point in the interior of triangle PQR. Segment OL, OM, and ON are perpendicular to PQ, QR and PR respectively. Find the sum of segments OL, OM and ON.

A

\frac{10 \sqrt{3}}{2}

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B

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

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C

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

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D

Data insufficient

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Solution

The correct option is C $\frac{5 \sqrt{3}}{2}$
Option (C) is correct option. Check the video for the approach.

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Similar questions

Q. Triangle PQR is an equilateral with sides of length 5 units. O is any point in the interior of triangle PQR. Find the sum of perpendicular distances from O to all the three sides.

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Step 2 : Taking P as centre and radius of 4 inches, draw an arc above PQ.

Step 3 : ?

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