Geometry

Congruent and Similar Triangles

Triangles - Compare Similar Triangles

         

In the above triangle, point D divides AB\overline{AB} in the ratio  2:1\ 2:1 and point E divides AC\overline{AC} in the ratio  1:2.\ 1:2. If the area of ABC\triangle ABC is 23,23, what is the area of ADE?\triangle ADE?

Triangle ABC\triangle ABC is similar to DCE\triangle DCE with ABCD.\overline{AB} \parallel \overline{CD}. If the area of ABC\triangle ABC is 3636 and the area of DCE\triangle DCE is 9,9, what is the area of ACD?\triangle ACD?

Note: The above diagram is not drawn to scale.

AB\overline{AB} is parallel to DE\overline{DE} , the length of AC\overline{AC} is 3,3, and the length of CD\overline{CD} is 11.11. If the area of ABC\triangle ABC is 4,4, what is the area of CDE\triangle CDE ?

Note: The above diagram is not drawn to scale.

Triangle ABC\triangle ABC is similar to DEF\triangle DEF, and the ratio of their areas is 9:25.9:25. If the length of DE\overline{DE} is 70,70, what is the length of AB\overline{AB} ?

BC\overline{BC} is parallel to DE\overline{DE} , the length of AD\overline{AD} is 7,7, and the length of BD\overline{BD} is 3.3. If the area of ABC\triangle ABC is 17,17, what is the area of ADE\triangle ADE ?

Note: The above diagram is not drawn to scale.

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