Aptitude Question: Download Questions PDF
In a right-angled triangle, the square of the hypotenuse is twice the product of the other two sides. Then one of the acute angles of the triangle is…
A. 450
B. 300
C. 600
D. 150
Answer:
3 sides are p,q, sqrt(2pq).
now if it is sright-angle then 2pq=p^2+q^2;
cos(angle)=sqrt(p/2q);
sin(angle)=sqrt(q/2p);
So sin(2*angle)=2*sin(angle)*cos(angle);
sin(2*angle)=1;
So angle=45;
now if it is sright-angle then 2pq=p^2+q^2;
cos(angle)=sqrt(p/2q);
sin(angle)=sqrt(q/2p);
So sin(2*angle)=2*sin(angle)*cos(angle);
sin(2*angle)=1;
So angle=45;
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