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. 450B. 300C. 600D. 150

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;

namrata

Nov 16th, 2011

If the triangle is right angled triangle then the angles has to be 45-45-90 so logically too ans is 45

manoj kumar

Dec 22nd, 2014

450

GAURAV

Jul 15th, 2016

No, if the triangle is right angle triangle then it is not necessary to have same length opposite to hypotenuses. It may be of different then in this case angle will never be same as you said but in above question both the side are same as per calculation obtained by given condition, so angle should be 45 deg.

Kshitij Tripathi

Jul 24th, 2016

45 degree

anjali singh

Sep 15th, 2016

h^2=2pb
h^2=p^2 + b^2
p^2+ b^2=2pb
p^2 + b^2 -2pb=0
(p-b)^2=0
p-b=0
p=b
since both sides are equal
angle=45

Cool Dude

Nov 19th, 2016

Miss, 90-45-45 is only for isosceles right angle triangle, there are other types of right angle triangles too. Suppose the sides are 3,4,5 as the sides are different the angles opp. to them will also be different.

## 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. 450B. 300C. 600D. 150

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