Question

(2) AXYZ - ADEF, XY = 5.1 cm, YZ=3.9 cm, XZ= 6 cm
XY
3
then draw AXYZ and ADEF
DE
A​

Answer 1

Answer:

\triangle XYZ△XYZ ≅\triangle DFE△DFE

XY = 5.1\ cm, YZ = 3.9\ cm\ and\ XZ = 6\ cmXY=5.1 cm,YZ=3.9 cm and XZ=6 cm

And, XY:DE=3:2XY:DE=3:2

⇒DE=\frac{2(XY)}{3}DE=

3

2(XY)

⇒DE=\frac{2\times 5.1}{3}DE=

3

2×5.1

⇒DE=3.4\ cmDE=3.4 cm

And, EF=3.9 cm and\ DF=6 cm EF=3.9 cm and DF=6 cm (△XYZ ≅\triangle DFE )

Following steps:

Draw a line segments XY=5.1 cm using scale.

X as center 6\ cm as radius draw an arc

Y as center 3.9\ cm3.9 cm as radius draw an arc which cuts the before arc at ZZ

Join XZ\ and\ YZXZ and YZ

Now, \triangle XYZ△XYZ is the required triangle.

Draw a line segments DE=3.4 cm using scale.

DD as center 6\ cm6 cm as radius draw an arc

EE as center 3.9\ cm3.9 cm as radius draw an arc which cuts the before arc at FF

Join DF and EF

Hence,△DFE is the another required triangle.