मराठी

In δAbc, D, E, F Are the Midpoints of Bc, Ca and Ab Respectively. Find Fe, If Bc = 14 Cm - Mathematics

Advertisements
Advertisements

प्रश्न

In ΔABC, D, E, F are the midpoints of BC, CA and AB respectively. Find FE, if BC = 14 cm

बेरीज
Advertisements

उत्तर


F is the mid-point AB and E is the mid-point of AC.
∴ FE = `(1)/(2)"BC"`       ....(Mid-point Theorem)

= `(1)/(2) xx 14`
= 7 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Mid-point and Intercept Theorems - Exercise 15.1

APPEARS IN

फ्रँक Mathematics [English] Class 9 ICSE
पाठ 15 Mid-point and Intercept Theorems
Exercise 15.1 | Q 3.1

संबंधित प्रश्‍न

In a triangle ABC, AD is a median and E is mid-point of median AD. A line through B and E meets AC at point F.

Prove that: AC = 3AF.


A parallelogram ABCD has P the mid-point of Dc and Q a point of Ac such that

CQ = `[1]/[4]`AC. PQ produced meets BC at R.

Prove that
(i)R is the midpoint of BC
(ii) PR = `[1]/[2]` DB


In ΔABC, AB = 12 cm and AC = 9 cm. If M is the mid-point of AB and a straight line through M parallel to AC cuts BC in N, what is the length of MN?


The diagonals of a quadrilateral intersect each other at right angle. Prove that the figure obtained by joining the mid-points of the adjacent sides of the quadrilateral is a rectangle.


In a parallelogram ABCD, M is the mid-point AC. X and Y are the points on AB and DC respectively such that AX = CY. Prove that:
(i) Triangle AXM is congruent to triangle CYM, and

(ii) XMY is a straight line.


In the given figure, ABCD is a trapezium. P and Q are the midpoints of non-parallel side AD and BC respectively. Find: AB, if DC = 8 cm and PQ = 9.5 cm


Side AC of a ABC is produced to point E so that CE = `(1)/(2)"AC"`. D is the mid-point of BC and ED produced meets AB at F. Lines through D and C are drawn parallel to AB which meets AC at point P and EF at point R respectively. Prove that: 3DF = EF


AD is a median of side BC of ABC. E is the midpoint of AD. BE is joined and produced to meet AC at F. Prove that AF: AC = 1 : 3.


In the given figure, PS = 3RS. M is the midpoint of QR. If TR || MN || QP, then prove that:

RT = `(1)/(3)"PQ"`


Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×