CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The sides a,b,c of a triangle satisfy the relations c2=2ab and a2+c2=3b2. Then the measure of BAC, in degrees, is


A
30
loader
B
45
loader
C
60
loader
D
90
loader

Solution

The correct option is B 45
GIven that c2=2ab, and a2+c2=3b2
a2+2ab=3b2(a+b)2=4b2=(2b)2a=b

c2=2a2  or  c2=a2+b2
So, ΔABC is a right-angled isosceles  triangle.
BAC=45

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image