Question

In A Right Angles Triangle, If The Square Of The Hypotenuse Is Twice The Product Of The Other Two Sides, Then One Of The Angles Of The Triangle Is_____

Answer 1

In A Right Angles Triangle, If The Square Of The Hypotenuse Is Twice The Product Of The Other Two Sides, Then One Of The Angles Of The Triangle Is Isosceles

Let the three sides of triangle be,

Base=B, hypotenus=h and perpendicular=P

According to the given questions,

h²=2(b.p)

⇒b²+p²=2(b×p)

⇒(b−p)² =0⇒b=p

∴ triangle is isosceles.