Question

△FSB∼△ZDR .

What is the value of x?



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___units
Triangle F S B with F S equal to 38 and F B equal to 55. Triangle Z D R with Z D equal to 15.2 and Z R equal to x.

Answer 1

22

Explanation:

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Answer 2

Answer: 22 units.

Explanation:

Here FSB and ZDR are two triangles.

In which, FS = 38 unit, FB = 55 unit, ZD = 15.2 unit and ZR = x unit.

Also,
`\triangle FSB\sim \triangle ZDR`

Thus, By the property of similarity,

`(FS)/(ZD) = (FB)/(ZR)`

⇒
`(38)/(15.2) = (55)/(x)`

⇒
`x = (55* 15.2)/(38)`

⇒
`x = (836)/(38)`

⇒
`x = 22`

Thus, ZR = 22 unit.