1 Answer

Redcurry · Answer 1 · 2023-06-06T11:22:55+0000

Answer

F.

Explanation

Triangles ABD and ACD are similar, then their corresponding sides are proportional, that is,

$\frac{longest\text{ leg in ABD}}{longest\text{ leg in ABC}}=\frac{shortest\text{ leg in ABD}}{shortest\text{ leg in ABC}}$

From the diagram:

Solving for x:

$\begin{gathered} x\cdot x=5\operatorname{\cdot}9 \\ x^2=45 \\ √(x^2)=√(45) \\ x=√(45) \end{gathered}$

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