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

In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B parallel to AC meets DC produced at F. If the altitude of triangle ABC (perpendicular to AC) is 6 cm. Find the area of triangle ACF.


A
5 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15 cm2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
30 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 15 cm2

Let BG be perpendicular to AC.
From the given figure:
AC BF (given)
AC = 5cm (given)
Length of the altitude BG, perpendicular to AC = 6 cm (given)

ACB and ACF lie on the same base AC and are between the same parallels AC and BF.

Area ACB = Area ACF

Area ACB=12×base ×Height= 12×5×6=15 cm2

Area ACF =15 cm2


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Triangles on the Same Base (Or Equal Bases) and Equal Areas Will Lie between the Same Parallels_$008
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon