Question

6. Triangle ABC is similar to triangle DEF. Find the measure of side FD.

Answer 1

Check the picture below.

Answer 2

FD = 81.5

Explanation:

To find:-

• The measure of side FD .

Answer:-

We are given that the triangles DEF and ABC are similar to each other. As we know that in similar triangles, the ratio of corresponding sides are equal. Therefore, here we can say that;

`\sf:\implies (AC)/(FD)=(BC)/(FE)\\`

From the given triangles the data provided to us is ,

• AC = 23
• FE = 39
• BC = 11

So , on substituting the respective values, we have;

`\sf:\implies (23)/(FD)=(11)/(39) \\`

`\sf:\implies FD =(23(39))/(11) \\`

`\sf:\implies FD = 81.54 \\`

`\sf:\implies \red{ FD = 81.5 }\\`

Hence the value of FD to the nearest tenth is 81.5 .