Question

find the length of side ( a ) to the nearest tenth.
answer
( a = )

Explanation:

Step1: Identify the type of triangle

This is a right - angled triangle. Let the two legs be \(a\) and \(6\), and the hypotenuse be \(10\).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a,b\) are the legs. Substituting \(b = 6\) and \(c=10\) into the formula, we get \(a^{2}+6^{2}=10^{2}\).

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Answer:

\(8.0\)