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Mathematics

1 answer:

evablogger [386]2 years ago

6 0

Answer:

s = 12

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. For similar triangles ABC and XYZ, pairs of corresponding sides are ...

AB and XY . . . . 6 and 9

BC and YZ . . . . not given

CA and ZX . . . . 8 and S

We can write the statement of proportionality four (4) different ways. For purposes of finding the unknown S, it is convenient to choose an equation that has S in the numerator:

ZX/CA = XY/AB

S/8 = 9/6

Multiplying by 8 gives the value of S:

S = 8(9/6)

S = 12

_____

<em>Additional comment</em>

Other ways we could write the statement of proportionality are ...

CA/ZX = AB/XY ⇔ 8/S = 6/9

ZX/XY = CA/AB ⇔ S/9 = 8/6

XY/ZX = AB/CA ⇔ 9/S = 6/8

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