Question

It is given that ΔABC∼ΔDFE,∠A=300,∠C=400,AB=5cm,AC=8cmandDF=7.5cm.Then, the following is true.

Answer 1

Given :  ΔABC∼ΔDFE, ∠A = 30°,∠C = 40°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm

To find : DE & ∠F

Solution:

ΔABC∼ΔDFE

∠A=30°

∠C = 40°

=> ∠B = 110°   as  sum of all angles of triangle is 180°

ΔABC∼ΔDFE

=> ∠D = ∠A  = 30°

   ∠F  = ∠B = 110°

   ∠E  = ∠C =  40°

=>  AB/DF  = BC/ FE  = AC/DE

=> 5 / 7.5  = 8 / DE

=> DE = 12 cm

DE = 12 cm   &    ∠F  =   110°

Learn More:

angle abc similar to triangle d e f and angle is equals to angle D 90 ...

https://brainly.in/question/13657936

Which dimensions can create more than one triangle? three angles ...

https://brainly.in/question/16818978

triangle pqr similar to triangle xyz, angle Y + angle Z is equal to 90 ...

https://brainly.in/question/13198769