Maths / Areas Of Parallelograms And Triangles / Median and Altitude of Triangle

QUESTION
 

E is the mid - point of median AD. Show that arlarge (Delta BED)=frac{1}{4}: ar(Delta ABC).

EXPLANATION
Explain TypeExplanation Content
Text

Give, AD is median,

therefore  ar(DeltaABD) = ar(DeltaADC)                [By theorem]

Or     ar(Delta ABD)=frac{1}{2}: ar(Delta ABC)    ......(1)

E is mid point of AD.

therefore   BE is median.

therefore  ar(DeltaBDE) = frac{1}{2}  ar(DeltaABD)       ....(2)

From (1) and (2),

      ar(Delta BDE)=frac{1}{2}left ( frac{1}{2}ar(Delta ABC)right ) ar(Delta BDE)=frac{1}{4}ar(Delta ABC)

View Contents
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)
Self Learning
Testimonials
No Preview
STUDENT FEEDBACK - Hridey Preet C/o ABHYAS Academy
 9th
My experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Back
Courses We Offer
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)