Question

what is the length of the missing leg? if necessary, round to the nearest tenth. a = centimeters submit

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with hypotenuse \(c\) and legs \(a\) and \(b\), \(c^{2}=a^{2}+b^{2}\). Here \(c = 0.9\) cm and \(b=0.7\) cm. We need to find \(a\), so \(a=\sqrt{c^{2}-b^{2}}\).

Step2: Substitute values

Substitute \(c = 0.9\) and \(b = 0.7\) into the formula: \(a=\sqrt{0.9^{2}-0.7^{2}}=\sqrt{0.81 - 0.49}=\sqrt{0.32}\).

Step3: Calculate the square root

\(\sqrt{0.32}\approx0.566\approx0.6\) (rounded to the nearest tenth).

Answer:

\(0.6\)