Question

ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;

$\triangle CAP \sim \triangle HIT$ implies that the following sides are similar:

$CA \to HI$

$AP \to IT$

$PC \to TH$

Take for instance:

$CA = y$     $HI = b$

$AP = 20$    $IT = 38$

Then the solution is:

$CA : HI = AP : IT$

Substitute values for CA, HI, AP and IT

$y : b= 20 : 38$

Express as fraction

$\frac{y }{ b}= \frac{20 }{ 38}$

Multiply both sides by b

$y= \frac{20 }{ 38}*b$

Substitute 19 for b

$y= \frac{20 }{ 38}*19$

$y= \frac{20 }{ 2}$

$y=10$