Question

Find the missing value if necessary round to the nearest tenth

Answer 1

The sides of a right-angled triangle are related by the Pythagoras theorem given below:

$\text{Hypothenus}^2=opposite^2+adjacent^2$

From the given triangle, we have:

$\begin{gathered} \text{Hypothenus = 25} \\ \text{adjacent = 22} \\ \text{opposite = x} \end{gathered}$

Substituting and simplifying, we have:

$\begin{gathered} 25^2=22^2+x^2 \\ x\text{ = }\sqrt[]{141} \\ x\text{ = 11.9 (nearest tenth)} \end{gathered}$

The value of x is 11.9