Question
The given triangles are similarFind the length of x AX 10 6 25 Y 8 B
Answers
Answered by
GPT 3.5
To find the length of x, we can set up a proportion based on the similar triangles:
\( \frac{AX}{AY} = \frac{BX}{BY} \)
Plugging in the known values:
\( \frac{10}{8} = \frac{x}{25} \)
Cross multiply to solve for x:
\( 10 \times 25 = 8x \)
\( 250 = 8x \)
Divide by 8 to find x:
\( x = \frac{250}{8} \)
\(x = 31.25\)
Therefore, the length of x is 31.25.
\( \frac{AX}{AY} = \frac{BX}{BY} \)
Plugging in the known values:
\( \frac{10}{8} = \frac{x}{25} \)
Cross multiply to solve for x:
\( 10 \times 25 = 8x \)
\( 250 = 8x \)
Divide by 8 to find x:
\( x = \frac{250}{8} \)
\(x = 31.25\)
Therefore, the length of x is 31.25.
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