Question

If ∆LMB~∆XYZ and if MN=3.6, YZ= 10.8 cm ,XZ= 4cm,then NL=_____cm. options(6,8,0.6,0.8)​

Answer 1

$\sf\huge\bold{Answer:}$

Given :

∆LMN∼∆XYZ

MN=3.6cm

YZ= 10.8 cm

XZ= 4cm

To Find :

NL

Solution :

• When two triangles are similar, the ratios of sides of triangles will be equal.

$\tt\ :⟶\frac{MN}{YZ} = \frac{XZ}{NL} = \frac{LM}{XY}$

$\tt\ :⟶\frac{MN}{YZ} = \frac{XZ}{NL}$

Inserting values

MN=3.6cm

YZ= 10.8 cm

XZ= 4cm

$\tt\ :⟶\frac{3.6cm}{10.8cm} = \frac{4cm}{NL}$

$\tt{:⟶}$$\displaystyle{\tt { \cancel{ \frac{3.6 cm}{10.8cm} }}}$$\tt{= \frac{4cm}{NL}}$

$\tt\ :⟶\frac{1}{3} = \frac{4cm}{NL}$

$\tt\ :⟶1 \times NL = 4cm \times 3$

$\tt\red{ :⟶ NL = 12cm }$