wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A set of triangles is formed by joining the midpoints of the larger triangles. If the area â–³ABC is 128, then the area of â–³DEF, the smallest triangle formed, is:
534550.PNG

A
18
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
14
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 12
The segments joining the midpoints of two sides of a triangle is half as long as the third side. ¯¯¯¯¯¯¯¯¯DE is the consequence of the 4th set of midpoints so,
DEBC=(12)4=116

The ratio of the areas is the square of the ratio of corresponding sides,
AreaFDEAreaABC=(116)2=1256

Area of DEF is given by:
AreaDEF=AreaABC256=128256=12

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon