Question

find the length of side ( x ) to the nearest tenth.
answer attempt 1 out of 2
( x = )

Explanation:

Step1: Apply the Pythagorean theorem

Let the equal - length sides be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), in a right - angled triangle with \(a = x\), \(b=x\) and \(c = 3\). So \(x^{2}+x^{2}=3^{2}\).

Step2: Simplify the equation

Combine like terms: \(2x^{2}=9\). Then \(x^{2}=\frac{9}{2}=4.5\).

Step3: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{4.5}\approx2.1\)

Answer:

\(2.1\)