Question

3.4cm 9cm a

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, if the two legs are \(b = 3.4\mathrm{cm}\) and \(c=9\mathrm{cm}\), and the hypotenuse is \(a\), by the Pythagorean theorem \(a=\sqrt{b^{2}+c^{2}}\).

Step2: Substitute values

Substitute \(b = 3.4\) and \(c = 9\) into the formula: \(a=\sqrt{(3.4)^{2}+9^{2}}=\sqrt{11.56 + 81}=\sqrt{92.56}\).

Step3: Calculate the square - root

\(a=\sqrt{92.56}\approx9.62\mathrm{cm}\)

Answer:

\(a\approx9.62\mathrm{cm}\)