In Δ ABC, DEI BC., If DE-3 BC and area of Δ ABC : 81 cm, find the ar

1.	In Δ ABC, DEI BC., If DE-3 BC and area of Δ ABC : 81 cm, find the area of Δ ADE.91
Answer» In triangle ADE and triangle ABC angle A = angle A ( common ) angle ADE = angle ABC ( corresponding angles, DE is parallel to BC) therefore, triangle ADE is similar to triangle ABC ( by AA corollary of AAA) area of triangle ADE / area of triangle ABC = (DE) / (BC) area of triangle ADE / 81 = (2/3 BC)/ (BC) area of triangle ADE = 2/ 3 * 81 area of triangle ADE = 54 cm^2 it's not answer answer is 54

In Δ ABC, DEI BC., If DE-3 BC and area of Δ ABC : 81 cm, find the area of Δ ADE.91

Answer»

In triangle ADE and triangle ABC

angle A = angle A ( common )

angle ADE = angle ABC ( corresponding angles, DE is parallel to BC)

therefore, triangle ADE is similar to triangle ABC ( by AA corollary of AAA)

area of triangle ADE / area of triangle ABC = (DE) / (BC)

area of triangle ADE / 81 = (2/3 BC)/ (BC)

area of triangle ADE = 2/ 3 * 81

area of triangle ADE = 54 cm^2

it's not answer

answer is 54