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4 years ago

Please help me with this question thanks

Mathematics

1 answer:

Dvinal [7]4 years ago

4 0

Answer:

Step-by-step explanation:

ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:

$\dfrac{YH}{YA}=\dfrac{YV}{YB}$

We have

$YH=x,\ YA=17,\ YV=16+22=38,\ YB=16$

Substitute:

$\dfrac{x}{17}=\dfrac{38}{16}$ <em>cross multiply</em>

$16x=(17)(38)$ <em>divdie both sides by 16</em>

$x=\dfrac{(17)(38)}{16}\\\\x=40.375$

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