CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the adjoining figure, ABC=90 and BDAC. If AB = 5.7 cm, BD = 3.8 cm, CD = 5.4 cm, then find the length of BC.


A

6.1 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

4.1 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

8.1 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

7.1 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

8.1 cm


In ΔABCandΔBDC
ABC=BDC=90 (given)
ACB=DCB (common)
We know that when two angles of a triangle is equal to correspoinding angles of the other triangle, then triangles will be similar.
ΔABCΔBDCABBD=BCDC
5.7 cm3.8 cm=BC5.4 cm [ AB = 5.7 cm, BD = 3.8 cm, CD = 5.4 cm]
or, 3.8×BC=5.7×5.4
or, BC=5.7×5.43.8=8.1 cm
Hence, the length of BC = 8.1 cm.


flag
Suggest Corrections
thumbs-up
34
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Similar Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon