MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

Data insufficient

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

thumbs-up

0

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.

Q. In a right angle triangle

P Q R,

right-angled at

P .

P Q = 4, P R = 3

Q R = 5

. There is a point

O

inside the triangle from which perpendicular are drawn on the sides

P Q, Q R, R P

x, y, z

respectively. The maximum integral value of

x y z

Q. The steps for constructing a triangle PQR with the given sides PQ = 5 ft, PR = 4 ft and QR = 3 ft (Scale: 1 in : 1 ft) are :

Step 1 : Draw a line segment PQ of length 5 in.

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

Step 3 : ?

Step 4 : Join PR and QR.

△ P Q R

∠

= 30^{o}

and the sides PQ and QR have lengths

10 \sqrt{3}

10

, respectively. Then, which of the following statement(s) is (are) TRUE?

Q. In a triangle

P Q R

∠ P Q R = 30^{\circ}

P Q

Q R

10 \sqrt{3}

10

, respectively. Then, which of the following statement(s) is (are) TRUE?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Simplified Approaches to Geometry

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Length Based Approach

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon