Question

the ratio of the angle measures in a triangle is 2: 4: 5: 7 it's perimeter is 36 m what is the length of the shortest side

Answer 1

1.let the sides be 2x 4x 5x and 7x
since the perimeter is 36
therefore some of sides = 36
2x + 4x + 5x + 7x = 36
18 x=36
x =2
shortest side = 2x = 4m
longest side = 7x = 14m

2. sum of angle = 180
let angles be 5x 12x and 19x
5x+12x+19x=180
36x = 180
x = 5
smallest angle = 5x = 25
largest = 19x = 95