Question

Tow similar triangles have areas 120sq.cm and 480sq.cm respectively Then the ratio of any pair of corresponding sides is

Answer 1

Answer:

1:2 the answer is one isto two

Answer 2

Let the two triangles be ΔABC and ΔPQR.

Given:

Area of ΔABC= 120sq.cm

Area of ΔPQR= 480sq.cm

To find:

Ratio of any pair of Corresponding sides= ?

Solution:

ΔABC= 120sq.cm

ΔPQR= 480sq.cm

ΔABC:ΔPQR = 120:480

$\frac{Tri.ABC}{Tri.PQR} =[\frac{AB}{PQ}]^2$

       $\frac{12}{48}$  =  $[\frac{AB}{PQ}]^2$

       $\frac{1}{4}$     = $[\frac{AB}{PQ}]^2$

    $\sqrt{\frac{1}{4}}$    = $\frac{AB}{PQ}$

       $\frac{1}{2}$     = $\frac{AB}{PQ}$

∴     $\frac{AB}{PQ}$   = $\frac{1}{2}$

Hence. the ratio of any pair of Corresponding sides is 1:2 .