6x - 3
3x + 6
enter your answer in the box.
answer: p=19.2 ft
by the triangle midsegment theorem, you have:
then, the lengths of the sides of the triangle are:
add them to obtain the perimeter, then you obtain the following result:
p=8 ft+6.4 ft+ 4.8 ft
radius = 5 in
using the formula for calculating the area (a) of a circle
a = πr² ( r is the radius )
here a = 78.5, hence
3.14r² = 78.5 ( divide both sides by 3.14 )
r² = = 25 ( take the square root of both sides )
r = = 5
the smaller triangle sharing a vertex with the larger one is similar and half the area. that means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
the line segment of interest has length
36 × (√2)/2 = 18√2
the ratio of area of similar figures is the square of the ratio of their linear dimensions. thus the ratio of linear dimensions is the square root of the ratio of area.