Question

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

Answer 1

`25`

Explanation:

A right angled triangle `ABC` 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`
`=>h^2=576+49`
`=>h^2=625`
`=>h=sqrt625=25`