Question

Find the length of the missing side (nearesttenth).22 yd41 yd

Answer 1

We can use Pythagora's theorem to find the missing length of the right angled triangle;

Remember that Pythagora's theorem states that in a right angled traingle, the square on the hypotenuse is equal to the sum of squares on the other two sides of the triangle;

Let's call the unknown side x, so our equation will then be;

`\begin{gathered} 41^2=x^2+22^2 \\ 1681=x^2+484 \end{gathered}`

Let's isolate x by subtracting 484 from both sides of the equation;

`x^2=1197`

We can now take the square root of both sides;

`\begin{gathered} x=\sqrt[]{1197} \\ \therefore x=34.6 \end{gathered}`

Therefore, the length of the missing side to the nearest tenth is 34.6yd.