Home
Class 10
MATHS
If Adand PM are medians of triangles ABC...

If Adand PM are medians of triangles ABC and PQR, respectively where `DeltaABC ~ DeltaPQR` , prove that `(AB)/(PQ) =(AD)/(PM)`

Text Solution

Verified by Experts

The correct Answer is:
` rArr = (AB)/(PQ) = (BD)/(QM) = (AD)/(PM)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.4|9 Videos

  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.5|17 Videos

  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.2|10 Videos

  • SURFACE AREAS AND VOLUMES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 15.4|5 Videos

Similar Questions

Explore conceptually related problems

If AD and PM are median of triangles ABC and PQR respectively where Delta ABC - Delta PQR , prove that (AB)/(PQ) = (AD)/(PM) .

In Delta ABC , D and E are the mid-points of AB and AC respectively, then the area of Delta ADE is :

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

In Fig , ABC and AMP are two right triangles, right angled at B and M respectively. Prove that : DeltaABC ~DeltaAMP

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Delta PQR. Show that Delta ABM ~= Delta PQN (ii) Delta ABC ~= Delta PQR

In each of the following questions, we ask you to prove a statement. List all the steps in each proof, ang give the reason for each step. 6. A line parallel to side BC of a triangle ABC ,intersects AB and AC at D and E respectively. Prove that (AD)/(DB)=(AE)/(EC) .

sides AB and BC and median AD of a triangle ABC are respectively proportional to side PQ and QR median PM of DeltaPQR (see Fig ). Show that DeltaABC~DeltaPQR

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In Fig . PS is the bisecto of angle QPR of Delta PQR . Prove that (QS)/(SR) = (PQ)/(PR)

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)