Question

If two sides and median bisecting one of these side of a triangle are equal respectively to the two sides and the median bisecting one of these sides of another triangle, prove that two triangles are congruent.

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Answer 1

Answer:

it is not congruent but similar

draw triangle abc draw median at d from point b

and triangle pqr median at s from point q

Step-by-step explanation:

proof ab/pq= bd/qs=ac/pr

and.....

ad =dc=ac/2

ps=sr=pr/2

to show....

triangle abc congruence to trianglepqr

ab/pq=ac/pr = equation 1

use sas axiom

angle a = angle p

ad=ac/2 and ps=pr/2

ad/ps=ac/pr=r

from equation 1 we have

..... ab/pq=ap/ps=bd/qs

by sss axiom we get ,

....triangle abd similar to triangle pqr

angle a = angle p = equation 2

from equation 1 and 2

triangle abc similar to triangle (sas)

hence proved