Question

Triangle ABC is a right-angled at vertex A. Calculate the length of BC, if AB= 18cm AC=24cm

Answer 1

BC = 30 cm

Explanation:

using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here BC is the hypotenuse and AB , BC are the 2 other sides , then

BC² = AB² + AC² ( substitute values )

BC² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )

`√(BC^2)` =
`√(900)` , that is

BC = 30 cm