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

The sides of a triangle are 3x+4y,4x+3y and 5x+5y units, where x,y>0.The triangle is ______________.

A
right angled
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
equilateral
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
obtuse angled
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C obtuse angled
Let a=3x+4y,b=4x+3y and c=5x+5y be the largest side
cosC=a2+b2c22ab
=(3x+4y)2+(4x+3y)2(5x+5y)22(3x+4y)(4x+3y)
cosC=9x2+16y2+24xy+16x2+9y2+24xy25x225y250xy2(3x+4y)(4x+3y)<0,x,y>0
cosC=2xy2(3x+4y)(4x+3y)<0,x,y>0
θ>90
, the triangle is obtuse angled.

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