The gable

The gable of the house has the shape of an isosceles triangle, which has a base length of 14 meters and arms with a length of 8 meters. What is the tall gable of the house?

Correct answer:

h =  3.873 m

Step-by-step explanation:

$$\begin{gathered} a=14\text{ m } \\ r=8\text{ m } \\ {r}^2=h^2+(a\mathrm{/}2{)}^2 \\ h=\sqrt{r^2-(a\mathrm{/}2{)}^2}=\sqrt{8^2-(14\mathrm{/}2{)}^2}=\sqrt{15}=3.873\text{ m} \end{gathered}$$

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