contestada

Kayla measured the distances surrounding a lake, as
shown in the diagram below.
Kayla used the diagram to determine the distance across
the lake. If DE DE || CB , what is the distance across the
lake? Round to the nearest foot.

Kayla measured the distances surrounding a lake as shown in the diagram below Kayla used the diagram to determine the distance across the lake If DE DE CB what class=

Respuesta :

akposevictor

Considering ΔADE and ΔACB as similar triangles, the distance across the lake is, DE = 107.1 ft.

Similar Triangles

  • Similar triangles are formed if a line segment that is parallel to a one of the sides of a triangle joins the two other sides of the triangle.
  • For triangles that are similar to each other, the ratio of their corresponding sizes are congruent.

The image shows two similar triangles, ΔADE and ΔACB. Therefore:

AD/AC = DE/CB

  • Substitute

75/(75 + 100) = DE/250

75/175 = DE/250

DE = 107.1 ft

Therefore, considering ΔADE and ΔACB as similar triangles, the distance across the lake is, DE = 107.1 ft.

Learn more about similar triangles on:

https://brainly.com/question/2644832

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE