Question

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

Answer 1

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

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

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

$AB= \frac{18}{3}$

$AB = 6$