Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

Prove that the triangle formed by joining the mid points of the sides of an isosceles triangle is an isosceles triangle.
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
answered-by-expert Expert Answer
An isosceles triangle ABC                    
In ABC, AB = AC              
D, E and F are the mid points of sides AB, AC and BC respectively.
By mid point theorem
EF = DF
In DEF, EF = DF.
Hence, DEF is an isosceles triangle.
Answered by | 11 Aug, 2017, 13:52: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
in the given figure D,E,F are the mid point of sides bc,ca and ab of triangle abc. be cuts df at p and cf cuts de at q. show that pq || ef,pq=1/4 BC
Asked by py1756089 | 10 Nov, 2024, 16:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
the line segment joining the midpoints of two sides of a triangle is parallel to the third side
Asked by vineetyadav77050 | 25 Jul, 2021, 17:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Q. 7
question image
Asked by Rayeesa | 04 Jun, 2018, 21:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to PS meets SR at N and PS produced at L. Prove that (i) PL = 2QR (ii) QL = 2QN.
Asked by Topperlearning User | 11 Aug, 2017, 11:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
State the mid point Theorem.
Asked by Topperlearning User | 11 Aug, 2017, 12:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the triangles formed by joining in pairs, the mid points of the three sides of a triangle are congruent to each other.
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the line drawn through the mid point of one side of a triangle, parallel to another side, intersects the third side at its mid point.
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In PQR, A, B and C are the mid points of QR, RP and PQ respectively. If the lengths of sides PQ, QR and RP are 7 cm, 8 cm and 9 cm respectively, find the perimeter of ABC. 
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the triangle formed by joining the mid points of the sides of an isosceles triangle is an isosceles triangle.
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In the figure, E is the mid-point of side AD of a trapezium ABCD with AB  CD. A line through E parallel to AB meets BC in F. Show that F is the mid point of BC.
Asked by Topperlearning User | 11 Aug, 2017, 11:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt