The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.​

The longest length is 30 cm

Step-by-step explanation:

Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides

So, what we have to do here is divide the perimeter in the given ratio to get the side lengths

since 5 is the biggest of the numbers in the ratio, it represents the largest length value

so we have this as;

(3 + 4 + 5) = 12

So that would be;

5/12 * 72

= 5 * 6 = 30

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3