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Anvisha [2.4K]
3 years ago
8

Triangles ABC and CDE are mathmatecilly similar. work out the length of DE. WORK OUT THE LENGHT OF AB

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

DE = 15

AB = 6

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the lengths of DE and AB

To solve for DE, we make use of the following equivalent ratio

AC : BC =CE:DE

Substitute values

8:5 = 24:DE

Express as fraction

\frac{8}{5} = \frac{24}{DE}

Cross Multiply

DE * 8 = 24 *5

DE * 8 = 120

DE = 120/8

DE = 15

To solve for AB, we make use of the following equivalent ratio

AB : BC =CD:DE

Substitute values

AB : 5 = 18 : 15

Express as fraction

\frac{AB}{5} = \frac{18}{15}

Multiply by 5

5 * \frac{AB}{5} = \frac{18}{15}*5

AB= \frac{18}{15}*5

AB= \frac{18}{3}

AB = 6

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