A right angle triangle has a height of 7. length of the base is 24. what is the length of the hypotenuse?

Aug 3, 2016

$25$

Explanation:

A right angled triangle $A B C$ is shown in the figure below.

Height of triangle is occasionally called its perpendicular.
We know from Pythagoras theorem that the hypotenuse, base and perpendicular are related as

${h}^{2} = {b}^{2} + {p}^{2}$

Inserting given values in the above expression we get
${h}^{2} = {24}^{2} + {7}^{2}$
$\implies {h}^{2} = 576 + 49$
$\implies {h}^{2} = 625$
$\implies h = \sqrt{625} = 25$