Question

4x +3=-2x + 21 a=30 13 다. 2673 1 1 Find the vine 2 . 32400) 52 234234

Answer 1

Use the Pythagorean Theorem to relate the lengths of the legs of the right triangle on the picture to the length of the hypotenuse:

`40^2+a^2=50^2`

Solve for a:

`\begin{gathered} \Rightarrow1600+a^2=2500 \\ \Rightarrow a^2=2500-1600 \\ \Rightarrow a^2=900 \\ \Rightarrow a=\sqrt[]{900} \\ \Rightarrow a=30 \end{gathered}`

Therefore, the value of a is:

`30`