Question

In figure 5.38, points X,Y,Z are the midpoints of side AB, side BC and side AC of ΔABC respectively. AB=5cm, AC=9cm and BC=11cm. Find the length of XY, YZ, XZ.

Answer 1

SOLUTION:-

GIVEN BY:--
AB = 5CM , AC = 9CM , BC = 11CM
IF points X,Y,Z are the midpoints of side AB, side BC and side AC of ΔABC.
then,
AX = BX =5/2 = 2.5CM
BY = CY = 11/2 = 5.5 CM
AZ = CZ = 9/2 = 4.5 CM
From the property, we can say that XY is parallel to AC. Similarly, YZ is parallel to AB and XZ is parallel to BC.
then ,
BY = XZ = 5.5CM
YZ = XB = 2.5CM
XY = CZ = 4.5CM

hence , (XY, YZ, XZ.) =( 4.5cm , 2.5cm , 5.5cm)

■I HOPE ITS HELP■

Answer 2

Hi ,

It is given that ,

X , Y, Z are the mid points of side

AB , BC and CA of ∆ABC respectively

AB = 5 cm

AC = 9cm

BC = 11 cm

We know that ,

i ) AB // ZY , and

ZY = AB/2 = 5/2 = 2.5cm

ii ) BC // XZ , and

XZ = BC/2 = 11/2 = 5.5 cm

iii ) AC // XY ,

XY = AC/2 = 9/2 = 4.5 cm

I hope this helps you.

: )