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yaroslaw [1]
4 years ago
10

HeLp would be appreciated for the image below :))

Mathematics
1 answer:
erik [133]4 years ago
3 0

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

(\frac{1}{2} x )² + 3² = (\sqrt{45} )²

\frac{1}{4} x² + 9 = 45 ( subtract 9 from both sides )

\frac{1}{4} x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = \sqrt{144} = 12 → A

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