Question

The sides of a triangle are in the ratio of 3 : 4 : 5. If its perimeter is 36 cm, then what is its area?
a. 32 cm2
b. 54 cm2
c. 67 cm2
d. 72cm2

Answer 1

Let the unit of ratio be x then

3x+4x+5x=36
12x=36
x=36/12
x=3

Now,Sides of the triangle are 3*3=9cm,3*4=12cm and 3*5=15cm.

s=36/2. [s is the semiperimeter of the triangle]
s=18.

By, Heron's formula
Ar. of the triangle=√s(s-a)(s-b)(s-c).
√18(18-9)(18-12)(18-15)
√18*9*6*3
√2,916
54

Hence the area of the triangle=54cm^2.

Answer 2

Answer:

Hey, that's simple.

Explanation:

It's 54 cm² using Heron's Formula.

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