Answer:
2.4 units
Step-by-step explanation:
This question can be solved using the principle of area of triangle
Area of triangle = 1/3(base* height)
given
AC = 3 unit
BC = 4 unit
length of hypotenuse is found by using formula =
where a and b are sides of right angled triangle other than hypotenuse
therefore hypotenuse(AB) is =
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Area of triangle when height is 4 unit(BC) and base is 3 unit(AC)
= 1/3( 4 * 3) = 4 square unit
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Now given that there is another height CD
CD is perpendicular drawn from point CD to side AB
If CD is height for the triangle then its corresponding base will be the side on which this perpendicular is dropped.
in this problem it is Side AB which hypotenuse with side length 5 unit as calculated above
now again finding area for same triangle with height CD and base AB
we can also say Area of triangle ABC = 1/3(CD * AB) = 1/3(CD * 5) ------------equation A
since triangle ABC has area 4 square unit
1/3(CD * 5) = 4 square unit
CD = (4 * 3)/5 = 12/5 = 2.4 units
length of CD = 2.4 units