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find the missing side of each triangle. ro 5) 6.7 km 9 km x © 2024 kuta…

Question

find the missing side of each triangle. ro
5)
6.7 km
9 km
x
© 2024 kuta software llc. a

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 6.7\), \(b=9\), and \(c=x\).
So, \(x^{2}=6.7^{2}+9^{2}\).

Step2: Calculate squares

\(6.7^{2}=44.89\) and \(9^{2}=81\).
Then \(x^{2}=44.89 + 81\).

Step3: Sum the values

\(x^{2}=125.89\).

Step4: Find the square root

\(x=\sqrt{125.89}\approx11.2\) (rounded to one decimal place).

Answer:

\(x\approx11.2\) km