Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
C
Explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
= ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = = 6 → C
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