Area of triangle ABC is 144 square units Find the area of triangle DBE in square units
Mathematics
johndames
Question
Area of triangle ABC is 144 square units Find the area of triangle DBE in square units
1 Answer

1. User Answers MissPhiladelphia
Hi, thank you for posting your question here at Brainly.
Area of Triangle = 1/2*base*height
For triangle ABC:
144 = 1/2*AC*(3x+x)
2(144) = AC(4x)
AC = 72/x
Through ratio and proportion:
(3x+x)/AC = x/DE
4x/(72/x) = x/DE
4x^2/72 = x/DE
4x/72 = 1/DE
DE = 72/4x = 18/x
For triangle DBE:
A = 1/2*base*height
A = 1/2*DE*x
A = 1/2*(18/x)*x
A = 1/2*18
A = 9 square units