secretlove37 secretlove37
  • 24-03-2020
  • Mathematics
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Please help! If the two triangles are similar, which equation represents the value of side x?

Please help If the two triangles are similar which equation represents the value of side x class=

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shilpa85475 shilpa85475
  • 30-03-2020

[tex]x=\frac{p q}{m}[/tex] equation represents the value of side x.

Solution:

The two triangles are similar.

If two triangles are similar, then the corresponding sides are in proportional.

[tex]$\Rightarrow \frac{m}{p} =\frac{q}{x}[/tex]

Do cross multiplication.

[tex]$\Rightarrow mx=pq[/tex]

Divide by m on both sides.

[tex]$\Rightarrow \frac{mx}{m} =\frac{pq}{m}[/tex]

[tex]$\Rightarrow x =\frac{pq}{m}[/tex]

Therefore, [tex]x=\frac{p q}{m}[/tex] equation represents the value of side x.

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