Question

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

Answer 1

See Explanation

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

`(y )/( b)= (20 )/( 38)`

Multiply both sides by b

`y= (20 )/( 38)*b`

Substitute 19 for b

`y= (20 )/( 38)*19`

`y= (20 )/( 2)`

`y=10`