Question

The sides of the triangle are in the ratio 1:3:4. The perimeter of the
triangle is 24 cm.
a. Find the length of the longest side.
b. How much longer is the longest side from the shortest side?

Answer 1

Answer:

a.12cm

b.9cm

Step-by-step explanation:

let the sides be x

perimeter = 24cm

sides are 1x,3x and 4x

1x+3x+4x=24

8x=24

x=3

therefore sides are 1×3=3cm , 3×3=9cm and 4×3=12 cm

longest side = 12cm and shortest is 3cm

difference of longer side and shorter side

12-3=9cm

the longer side is therefore 9cm longer than the shorter side

Answer 2

Answer:

The sides of the triangle: 1:3:4

perimeter of a triangle = a+b+c

24 cm = 1x+3x+4x

24cm= 8x

x=24/8

x=3

a. Sides :

1x = 1×3=3cm

3x=3×3=9cm

4x=4×3=12cm

b. The longest side is 12cm.

12-3=9

12cm is longer by the difference of 9cm from the shortest side.

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