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OleMash [197]
3 years ago
15

2e) find the length of CE. help me

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0
I think the answer would be either 12 or 14 cm. If not right, I am very sorry. I hope I've helped.

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Answer:

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Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

k =2

DE = 6

FD=10

Step-by-step explanation:

Given

\triangle ABC and \triangle FED

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

k = \frac{FE}{AB}

k = \frac{8}{4}

k =2

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

k = \frac{DE}{CB}

2 = \frac{DE}{3}

DE = 2 * 3\\

DE = 6

Solving (f): Length of FD

Using Pythagoras:

FD^2 = DE^2 + EF^2

FD^2 = 6^2 + 8^2

FD^2 = 100

FD = \sqrt{100

FD=10

7 0
3 years ago
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