Question

In a right angled triangle the square of the hypotenuse is twice the product of the square of the other sides. Then the triangle is

• A. equilateral
• B. isosceles
• C. of $\angle s{30}^o,{60}^o,{90}^o$
• D. of $\angle s{40}^o,{50}^o,{90}^o$

Answer 1

The correct option is B isosceles

Let the three sides of triangle be,

Base=$B$, hypotenus=$h$ and perpendicular=$P$

According to the given questions,

$h^2=2(b.p)$

$\Rightarrow b^2+p^2=2(b\times p)$

$\Rightarrow {(b-p)}^2=0\Rightarrow b=p$

$\therefore$ triangle is isosceles.