what is the length of the missing leg? if necessary, round to the nearest tenth. a = meters
what is the length of the missing leg? if necessary, round to the nearest tenth. a = meters
Answer
Explanation:
Step1: Apply Pythagorean theorem
In a right - triangle, (c^{2}=a^{2}+b^{2}), where (c) is the hypotenuse and (a) and (b) are the legs. Here, (c = 10) m and (b = 9) m, and we want to find (a). So, (a=\sqrt{c^{2}-b^{2}}).
Step2: Substitute values
Substitute (c = 10) and (b = 9) into the formula: (a=\sqrt{10^{2}-9^{2}}=\sqrt{100 - 81}=\sqrt{19}).
Step3: Calculate and round
(\sqrt{19}\approx4.4) (rounded to the nearest tenth).
Answer:
4.4