मराठी

In Triangle Abc, M is Mid-point of Ab and a Straight Line Through M and Parallel to Bc Cuts Ac in N Find the Lengths of an and Mn If Bc = 7 Cm and Ac = 5 Cm

Advertisements
Advertisements

प्रश्न

In triangle ABC, M is mid-point of AB and a straight line through M and parallel to BC cuts AC in N. Find the lengths of AN and MN if Bc = 7 cm and Ac = 5 cm.

बेरीज
Advertisements

उत्तर

The triangle is shown below,

Since M is the midpoint of AB and MN || BC hence N is the midpoint of AC. Therefore

MN = `[1]/ [2]` BC = `[1]/ [2]` x 7 = 3.5cm

And AN = `[1]/ [2]` AC = `[1]/ [2]`  x 5 = 2.5cm

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Mid-point Theorem and Its Converse [Including Intercept Theorem] - Exercise 12 (A) [पृष्ठ १५०]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 11 Mid-point Theorem and Its Converse [Including Intercept Theorem]
Exercise 12 (A) | Q 1 | पृष्ठ १५०

संबंधित प्रश्‍न

In a ΔABC, BM and CN are perpendiculars from B and C respectively on any line passing
through A. If L is the mid-point of BC, prove that ML = NL.


Fill in the blank to make the following statement correct:

The figure formed by joining the mid-points of consecutive sides of a quadrilateral is           


ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-points of AB, BD, CD and Ac respectively. Prove that EFGH is a rhombus.


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


ΔABC is an isosceles triangle with AB = AC. D, E and F are the mid-points of BC, AB and AC respectively. Prove that the line segment AD is perpendicular to EF and is bisected by it.


ABCD is a parallelogram.E is the mid-point of CD and P is a point on AC such that PC = `(1)/(4)"AC"`. EP produced meets BC at F. Prove that: F is the mid-point of BC.


In a parallelogram ABCD, E and F are the midpoints of the sides AB and CD respectively. The line segments AF and BF meet the line segments DE and CE at points G and H respectively Prove that: ΔGEA ≅ ΔGFD


In ΔABC, the medians BE and CD are produced to the points P and Q respectively such that BE = EP and CD = DQ. Prove that: A is the mid-point of PQ.


The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if ______.


The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×