Question : AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?
Option 1: 14 cm
Option 2: 28 cm
Option 3: 21 cm
Option 4: 7 cm

Question

Question : $△ A B C$ is an equilateral triangle with a side of 12 cm and AD is the median. Find the length of GD if G is the centroid of $△ A B C$ .
Option 1: $6 \sqrt{3}$ cm
Option 2: $3 \sqrt{3}$ cm
Option 3: $4 \sqrt{3}$ cm
Option 4: $2 \sqrt{3}$ cm

49 Views

Answer 1

Correct Answer: 7 cm

Solution : AD is the median of triangle ABC.
P is the centroid of triangle ABC. If AP = 14 cm
The centroid of the triangle divides each of its medians in the ratio 2 : 1.
⇒ $\frac{AP}{PD} = \frac{2}{1}$
⇒ $\frac{14}{PD} = \frac{2}{1}$
⇒ $PD = \frac{14}{2}$
$∴$ PD = 7 cm
Hence, the correct answer is 7 cm.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Law Preparation

MBA Preparation

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Resources

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?Option 1: 14 cmOption 2: 28 cmOption 3: 21 cmOption 4: 7 cm

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CGL

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?
Option 1: 14 cm
Option 2: 28 cm
Option 3: 21 cm
Option 4: 7 cm