Question

Find the length of third side. if necessary, round to the nearest tenth. Need Answer ASAP

Answer 1

17.9 units (nearest tenth)

Explanation:

`\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}`

From inspection of the given right triangle:

• a = 11
• c = 21

Substitute the values of a and c into Pythagoras Theorem and solve for b:

`\implies 11^2+b^2=21^2`

`\implies 121+b^2=441`

`\implies b^2=320`

`\implies b=√(320)`

`\implies b=17.88854...`

Therefore, the length of the third side is 17.9 units (nearest tenth).