The perimeter of triangle WXY, which is similar to triangle CDE with a scale factor of 4:3, is 48 (rounded to the nearest whole number). This is determined by scaling each side of triangle CDE and summing the results.
Step-by-step explanation:
The subject of this problem is mathematics, specifically geometry and the concept of similar triangles. When triangles are similar, their corresponding sides are in proportion, so given that triangle cde is similar to triangle wxy with a scale factor of 4:3, the lengths of triangle wxy would be 3/4 of the corresponding sides of triangle cde.
Let's calculate the perimeter of triangle wxy by converting each side of triangle cde to the scale of triangle wxy:
wx (corresponding to cd) would be (3/4)*13= 9.75
xy (corresponding to de) would be (3/4)*29= 21.75
wy (corresponding to ce) would be (3/4)*22= 16.50
By adding up the sides, we find the perimeter of triangle wxy: 9.75 + 21.75 + 16.50 = 48 (rounded to the nearest whole number).
Question:If triangle cde is similar to triangle wxy with a scale factor of 4:3, find the perimeter of triangle wxy. cd=13,de=29,ce=22