SOLUTION: In a triangle ABC DE||BC area of triangle ADE=16cm� DE= 4cm BC=6cm. Find area of triangle ABC

Question 1034938: In a triangle ABC DE||BC area of triangle ADE=16cm� DE= 4cm BC=6cm. Find area of triangle ABC

Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.
In a triangle ABC DE||BC area of triangle ADE=16cm� DE= 4cm BC=6cm. Find area of triangle ABC
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The triangles ABC and ADE are similar with the corresponding sides ratio of  = .

Then the areas ratio is  = .

Hence, the area of the triangle ABC is  times the area of the triangle ADE, i.e.  = 36 .

RELATED QUESTIONS
In a triangle ABC, D is a point on side AB and E is the point on AC. DE parallel to BC.... (answered by greenestamps)

In a triangle ABC de is parallel to Bc and d is the mid point of Side Ab. Find Ae and BC... (answered by rothauserc,ikleyn)

In triangle ABC D and E are points on side AB and AC respectively DE||BC BD=5cm and... (answered by Edwin McCravy)

DE is a midsegment of triangle ABC. If the area of ABC is 96 square units what is the... (answered by lynnlo)

In a triangle ABC,DE is a parallel to BC and D is the mid point of sideAB. Find the... (answered by ikleyn)

In the diagram at right, side DE Is a midsegment of triangle ABC. If the area of triangle (answered by Alan3354)

in triangle abc in which DE is parallel to BC ,and intersects AB in D and AC in E . If... (answered by b_gulsum)

In a triangle abc, de are midpoints. d is between ab, e is between ac. de=5. what is... (answered by Cromlix)

In triangle ABC, DE ||... (answered by Edwin McCravy)