Triangle def (not shown) is similar to abc shown, with angle b congruent to angle e and angle c congruent to angle f. the length of side de is 6 cm. if the area of abc is 5 square centimeters, what is the area of def ?

Area of ΔDEF is .

Step-by-step explanation:

Given;

ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = and

Length of DE =

Area of ΔABC =

Solution,

Since, ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

Where triangle 1 and triangle 2 is  ΔABC and  ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Thus the area of  ΔDEF is .

sine

step-by-step explanation: