Find the length of the missing side to the nearest tenth of a unit. The legs of the triangles are a and b and the hypotenuse is ca=? b=12m c=15m

Answer:The length of the missing side of the nearest tenth unit is 9.0m.Step-by-step explanation:Given:The triangle hypotenuse(c) = 15m, leg 2(b) = 12m and leg 1(a) = ? .Now, to get the missing side we put formula  to find it:Hypotenuse² = (leg 1)² + (leg 2)²[tex]c^{2}= a^{2} +b^{2}[/tex][tex]15^{2} =a^{2} +12^{2}[/tex][tex]225=a^{2}+144[/tex]Now, subtracting both sides by 144 we get:[tex]225-144=a^{2}+144-144[/tex][tex]81=a^{2}[/tex]Using square root on both sides:[tex]9=a[/tex]a = 9m.The number 9 can be written in decimal form as 9.00 . As we have 0 in the hundredth place, we don't add anything to the tenth place. Therefore, the length of the missing side of the nearest tenth unit is 9.0m.