Question

if two triangles are similar and the ratio of the pair of corresponding side is 2:3.if one of the sides of the smaller triangle is 4cm,then find the length of its corresponding side of the longer triangle​

Answer 1

Answer:

Answer:

6 cm .

Step-by-step explanation:

Given ;

Two triangles are similar .

The ratio of the pair of corresponding sides is 2 : 3 .

Let Δ ABC and Δ PQR are similar .

Then ,

\displaystyle{\frac{\Delta ABC}{\Delta PQR}=\dfrac{AB}{PQ}=\dfrac{BC}{QR}=\dfrac{AC}{PR}}

ΔPQR

ΔABC

=

PQ

AB

=

QR

BC

=

PR

AC

Let say AB is given side of 4 cm .

\begin{gathered}\displaystyle{\dfrac{AB}{PQ}=\dfrac{BC}{QR}}\\\\\\\displaystyle{\dfrac{4}{PQ}=\dfrac{2}{3}}\\\\\\\displaystyle{\dfrac{2}{PQ}=\dfrac{1}{3}}\\\\\\\displaystyle{PQ=6 \ cm}\end{gathered}

PQ

AB

=

QR

BC

PQ

4

=

3

2

PQ

2

=

3

1

PQ=6 cm

Thus corresponding side is of 6 cm .

Hence we get answer .