Question

Tri ABC Similar to DEF. If AB =4cm,BC=3.5 cm CA =2.5 cm and DF =7.5 cm then find perimeter of triangle d e f

Answer 1

Triangle ABC and DEF are two similar triangle.
Therefore,
(1) their corresponding angles are equal and
(2) their corresponding sides are proportional
= AC / DF = BC/ EF = 2.5/7.5=3.5/EF
= EF= 3.5×7.5/2.5= 3.5×3= 10.5cm
again,
AB/DE=BC/EF= 4/DE=3.5/10.5
DE=105×4/35=12cm

PERIMETER of triangle DEF= sum of all three sides.
DE+EF+DF= 12+10.5+7.5= 30cm

Answer 2

Step-by-step explanation:

Triangle ABC and DEF are two similar triangle.

Therefore,

(1) their corresponding angles are equal and

(2) their corresponding sides are proportional

= AC / DF = BC/ EF = 2.5/7.5=3.5/EF

= EF= 3.5×7.5/2.5= 3.5×3= 10.5cm

again,

AB/DE=BC/EF= 4/DE=3.5/10.5

DE=105×4/35=12cm

PERIMETER of triangle DEF= sum of all three sides.

DE+EF+DF= 12+10.5+7.5= 30cm

HOPE IT HELPS YOU!!!