Question

observe the given two triangles and then identify the length of DF in the following​

Answer 1

Answer:

⬆️ This is your answer.

Answer 2

Answer:

• Length of DF is 6√2

Step-by-step explanation:

After observing both the triangles we can notice that angle B is equal to angle E, AB and BC are half the length of ED and EF respectively. This implies that both the triangles are similar.

Conditions required for two triangles to be similar are :-

• Ratio of two sides are same: AB/ED = BC/EF
• angle B = angle E

Hence by AAS, both triangles ABC and DEF are similar.

By using CPST , ratios of all the sides of triangle will be same.

➝ AB/DE = BC/EF = AC/DF

➝ 3.8cm /7.6 cm = 6cm / 12cm = 3√2 cm/DF

➝ 1/2 = 1/2 = 3√2 / DF

➝ 1/2 = 3√2/DF

➝ DF = 3√2 × 2 cm

➝ DF = 6√2 cm