2019 AMC 8 Problems/Problem 24
Problem 24
In triangle , point divides side s that . Let be the midpoint of and left be the point of intersection of line and line . Given that the area of is , what is the area of ?
Solution 1
Draw so that is parallel to . That makes triangles and congruent since =. =3 so =4. Since =3( = and =1/3, so ==1/3), the altitude of triangle is equal to 1/3 of the altitude of . The area of is 360, so the area of =1/3*1/4*360=
See Also
2019 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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