Question

1. use the similar triangles for the following problem. use proportions to find the correct answers.

the length of the sides are ( u = 20 , \text{m} ), ( v = 15 , \text{m} ), ( a = 8 , \text{m} ), and ( c = 4.8 , \text{m} ).
use the
atios within\ method to find the length of side ( b ).
( \bigcirc , b = 6 , \text{m} )
( \bigcirc , b = 4.17 , \text{m} )
( \bigcirc , b = 9 , \text{m} )
( \bigcirc , b = 6.4 )

Explanation:

Step1: Set up similarity proportion

$\frac{u}{a} = \frac{v}{b}$

Step2: Substitute given values

$\frac{20}{8} = \frac{15}{b}$

Step3: Cross-multiply to solve for b

$20b = 8 \times 15$
$20b = 120$
$b = \frac{120}{20}$

Answer:

b = 6m