Given: A(0,0), B(0,3), C(4,0), D(0,6) and E(8,0) prove abc~ade

Question

Given: A(0,0), B(0,3), C(4,0), D(0,6) and E(8,0) prove abc~ade

Answer 1

Two triangles are similar if the corresponding sides are in proportion.

Triangles ABC and ADE are both right triangles; therefore, if two sides are in proportion, the 3rd sides will be also.

Side AB is 3 units long and side AC is 4 units.

Side AD is 6 units long and side AE is 8 units

This establishes the proportionality of the corresponding sides => similarity.