mrs martin and his son luke decide to walk a 12 kilomiter trail mrs martin takes a 1-hour trail head start and walks a pace of 3 km/hr explain how fast luke should walk to reach the end of the trail in 3 hours the same end of the trail in 3 hours the same time as mr martin

a × 12 = 3

4 times 3= 12

so a = 4

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584