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=12ft b=? c=12.5ft

Answer:The length of missing side b is 3.5ft.Step-by-step explanation:Given:The legs of the triangle are a= 12 ft, b= ? and the hypotenuse c = 12.5 ft.Now, we have to find the b which is the one side of triangle.By using pythagoras theorem we get the value of b:[tex]a^{2} +b^{2}=c^{2}[/tex][tex]12^{2}+b^{2}=12.5^{2}[/tex][tex]144+b^{2}= 156.25[/tex]By subtracting both sides by 144 we get:[tex]b^{2} = 12.25[/tex]Using square root both the sides we get:[tex]b=3.50[/tex]As we see 0 in the place of hundredth and 5 in the place of tenth so rounding 3.50 to nearest tenth will give 3.5 .So, b=3.5 ft.Therefore, the length of missing side b is 3.5ft.