Math, asked by pratheek1501, 6 months ago

In triangle pqr ,x is mid point of side pq .seg xz ll side QR seg xy ll seg pR and pQ =15cm,YZ

Answers

Answered by amitnrw
1

Given :  In triangle pqr ,X is mid point of side PQ .

seg XZ ll seg QR

seg XY ll seg PR

PQ =15cm,

To Find :  YZ

Solution:

if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

XZ ll  QR    

X is mid point of PQ  => Z is mid point of PR

XY ll PR

=> X is mid point of PQ  => Y is mid point of QR

Z is mid point of PR and Y is mid point of QR

line joining the mid-point of two sides of a triangle is equal to half the length of the third side

=> YZ = (1/2)PQ

=> YZ = (1/2)15

=> YZ = 7.5 cm

Length of YZ = 7.5 cm

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