Question

The lengths of the sides of a triangle are in the ratio 3:4:5 find the area of the triangle if it’s perimeter is 114cm

Answer 1

Answer:

Step-by-step explanation:

Ratio of sides = 3:4:5

Perimeter = Sum of sides = 114 cm

Therefore, 114 = 3x + 4x + 5x

=> 114 = 12x

=> x = 9.5

Area of triangle using Heron's formula is $\sqrt{p(p-a)(p-b)(p-c)}$ where p is half of the perimeter.

a = 3x = 3*9.5 = 28.5 cm

b = 4x = 4*9.5 = 38 cm

c = 5x = 5*9.5 = 47.5 cm

p = 57

Area = $\sqrt{57(57-28.5)(57-38)(57-47.5)}$

=> 541.5