The sides of a triangle are in proportion 8:15:17.Find the length of each side if the perimeter is 1.52m
let the sides be 8x, 15x, and 17x
8x + 15x + 17x = 152 cm
40x = 152
x = 3.8 cm
sub back into my definitions
How did you get 3.8
yes
To know how you got the answer
To find the length of each side of a triangle when the sides are given in proportion, we need to calculate the scale factor.
The scale factor can be found by dividing the sum of the given side ratios by the perimeter of the triangle.
In this case, the given side ratios are 8:15:17, and the perimeter is 1.52m.
The sum of the ratios is 8 + 15 + 17 = 40.
To find the scale factor, we divide the sum of the ratios by the perimeter:
Scale Factor = Sum of ratios / Perimeter
Scale Factor = 40 / 1.52 = 26.32
Now that we have the scale factor, we can find the length of each side by multiplying the scale factor by the corresponding ratio.
Side 1 = Scale Factor * 8
Side 1 = 26.32 * 8 = 210.56 cm
Side 2 = Scale Factor * 15
Side 2 = 26.32 * 15 = 394.8 cm
Side 3 = Scale Factor * 17
Side 3 = 26.32 * 17 = 447.44 cm
Therefore, the lengths of the sides of the triangle are:
Side 1 = 210.56 cm
Side 2 = 394.8 cm
Side 3 = 447.44 cm