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raketka [301]
3 years ago
7

50 points + brainliest for correct answer and explanation :)

Mathematics
2 answers:
lidiya [134]3 years ago
7 0
The triangle ABC and the triangle BDC are similar, therefore:

\dfrac{21+4}{x}=\dfrac{x}{4}\ \ \ |cross\ multiply\\\\x^2=25\cdot4\\\\x^2=100\to x=\sqrt{100}\\\\\boxed{x=10}

Allisa [31]3 years ago
4 0
The smallest and largest  (whole ) triangle are similar so 

x / 25 = 4 / x
x^2 = 100
x = 10  answer
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