Question

side of a triangle are in the ratio 3 ratio 4 ratio 5 and their perimeter is 6 find the area of triangle​

Answer 1

Answer:

Area of triangle is 3.354 unit square

Step-by-step explanation:

Given that sides of a triangle are in ratio 3 :  4: 5

Thus, sides of a triangle as 3x, 4x and 5x

Given that the perimeter of triangle is 6

Thus, we have

3x + 4x + 5x = 6

12x = 6

x = 0.5

Sides of triangle are

3 × 0.5 = 1.5

4 × 0.5 = 2

5 × 0. 5 = 2.5

Area of triangle can be calculated using hero's formula

Area = √(s)(s - a)(s - b)(s - c)

where, a, b and c are sides of triangle

s = \frac {a + b + c}{2}

Let us first calculate value of s

s = \frac {1.5 + 2 + 2.5}{2}

x = 3

Area is calculated as

Area = √(3)(3 - 1.5)(3 - 2)(3 - 2.5)

Area = √(3)(1.5)(1)(2.5)

Area=√11.25

Area = 3.354 unit square