Question

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.

Answer 1

BC: 16
AC: 12
AB: 20

perimeter :

`12 + 16 + 20 = 48`
area:

`(12 * 16) / 2 = 192 / 2 = 96`
hope this helps