Question

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

Answer 1

Answer:

XY = 4.5 CM

YZ = 2.5 CM

XZ = 5.5 CM

Answer 2

$\Large\bold\red{See\:the\: attachment}\Uparrow\Uparrow\Uparrow$

$\huge \bigstar$$\huge\bold{\mathtt{\purple{✍︎A{\pink{N{\green{S{\blue{W{\red{E{\orange{R✍︎}}}}}}}}}}}}}$$\huge \Rightarrow$

$\Large\bold\red {Solution}\Longrightarrow$

AB = 5 cm, AC = 9 cm and BC = 11 cm ...(Given)

______________________

In ∆ ABC,

X and Y are the midpoints of sides AB and BC respectively. ...(Given)

$\Rightarrow XY= \Large \frac {1}{2} \normalsize {AC}$...(Midpoint theroem)

$\Rightarrow XY= \Large \frac {1}{2}\normalsize 9$

$\Rightarrow XY= 4.5 cm$

______________________

In ∆ ABC,

Y and Z are the midpoint of sides BC and AC respectively. ...(Given)

$\Rightarrow YZ= \Large \frac {1}{2} \normalsize{AB}$...(Midpoint theroem)

$\Rightarrow YZ= \Large \frac {1}{2}\normalsize 5$

$\Rightarrow YZ= 2.5 cm$

______________________

In ∆ ABC,

X and Z are are the midpoints of sides AB and AC respectively.

$\Rightarrow XZ= \Large \frac {1}{2} \normalsize{BC}$...(Midpoint theroem)

$\Rightarrow XZ= \Large \frac {1}{2}\normalsize 11$

$\Rightarrow XZ= 5.5 cm$

$\Large \bold \purple{Ans}\Longrightarrow$

XY = 4.5 cm, YZ = 2.5 cm, XZ = 5.5 cm.