Question

Triangles QPT and QRS are similar. Find x.

33

32 and one-fourth

33 and one-third

32

Answer 1

Answer:

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.

Answer 2

Answer:

x = 33 $\frac{1}{3}$

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{PT}{RS}$ = $\frac{QT}{QS}$, substitute values

$\frac{24}{20}$ = $\frac{40}{x}$ ( cross- multiply )

24x = 800 ( divide both sides by 24 )

x = $\frac{800}{24}$ = 33 $\frac{1}{3}$