- Have any questions?
- [email protected]
- Home
- The sides of a triangle are in the ratio 3 : 4 : 5 whose area is 216 sq.
Question 1:
The sides of a triangle are in the ratio 3 : 4 : 5 whose area is 216 sq. cm. What will be the perimeter of this triangle?
A. 58 cm
B. 60 cm
C. 72 cm
Feedback Sides 3x, 4x, 5x
So semi-perimeter, s = (3x+4x+5x)/2 = 6x
Area = √s(s-a)(s-b)(s-c)
= √6x*3x*2x*x = 6x2 cm2
So 6x2 = 216, this gives x = 6
Perimeter = 12x = 12*6 =72
So semi-perimeter, s = (3x+4x+5x)/2 = 6x
Area = √s(s-a)(s-b)(s-c)
= √6x*3x*2x*x = 6x2 cm2
So 6x2 = 216, this gives x = 6
Perimeter = 12x = 12*6 =72
D. 50 cm
These questions are from this test. Would you like to take a practice test?