)) In a right triangle, a and b are the lengths of the legs and c is the length of the
hypotenuse. If b = 8.8 kilometers and c = 9.3 kilometers, what is a? If necessary, round to
the nearest tenth.

Respuesta :

Answer:

3.008 km or 3.0 km

Step-by-step explanation:

According to the Pythagoras theorem:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ \therefore \: {a}^{2} = {c}^{2} - {b}^{2} \\ \therefore \: {a}^{2} = {(9.3)}^{2} - {(8.8)}^{2} \\ \therefore \: {a}^{2} = {(9.3 + 8.8)}{(9.3 - 8.8)} \\ \therefore \: {a}^{2} = 18.1 \times 0.5 \\ \therefore \: {a}^{2} = 9.05 \\ \therefore \: {a} = \sqrt{9.05} \\ \therefore \: {a} = 3.00832179 \\ \therefore \: {a} = 3.0 \: km[/tex]