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2 years ago

Please help! If the two triangles are similar, which equation represents the value of side x?

Mathematics

1 answer:

madam [21]2 years ago

5 0

$x=\frac{p q}{m}$ equation represents the value of side x.

Solution:

The two triangles are similar.

<em>If two triangles are similar, then the corresponding sides are in proportional.</em>

$$\Rightarrow \frac{m}{p} =\frac{q}{x}$

Do cross multiplication.

$$\Rightarrow mx=pq$

Divide by m on both sides.

$$\Rightarrow \frac{mx}{m} =\frac{pq}{m}$

$$\Rightarrow x =\frac{pq}{m}$

Therefore, $x=\frac{p q}{m}$ equation represents the value of side x.

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