Question

Angle DEF ~ Angle ABC.
DE: AB = 2: 3 and the area of ​​the angle DEF is 44 sq.
Area
(In square meters)

a) 99
d) 120
c) 17/69
b) 66​

Answer 1

Answer:

99

Step-by-step explanation:

Given,

ΔDEF∼ΔABC  and

DE:AB=2:3

We know that,

Ratio of area of similar triangles in equal to the ratio of square of its corresponding side

∴ar(ΔABCar(ΔDEF)=(AB)2(DE)2⇒ar(ΔABC)44=(32)2⇒ar(ΔABC)=444×9∴ar(ΔABC)=99 cm2

Nice question spootik