Chapter 11, Problem 24CUR

To determine

To Find: Length of the median to hypotenuse.

Answer to Problem 24CUR

4.47 cm

Explanation of Solution

Given:

Legs of a right angle are 4 cm and 8 cm.

Formula used:

1. Pythagorean Theorem:

  $Hypotenus{e}^2=Bas{e}^2+Perpendicula{r}^2$

  $\begin{array}{l}Hypotenus{e}^2=4^2+8^2\\ \Rightarrow Hypotenuse=\sqrt{80}=8.94\end{array}$

Median to the hypotenuse in a right angle is half the length of Hypotenuse.

Therefore, required length = $\frac{8.94}{2}=4.47$ cm.