Question

the length of the hypotenus of an isosceles right triangle whose one side is 3√2 is a) 6 cm b)9cm c) 18 cm d)27cm​

Answer 1

Answer:

the length of the hypotenuse of an isosceles right triangle is $6cm$ i.e option (a)

Step-by-step explanation:

As it is isosceles triangle,its 2 sides will be equal

Let equal sides $AB=BC=x$

$x=3\sqrt{2}$

Let $AC=y$

Applying pythagoras theorem,

$AB^{2} +BC^{2} =AC^{2}$

$x^{2} +x^{2} =y^{2}$

$2x^{2} =y^{2}$

$2$×$(3\sqrt{2} )^{2}$$=y^{2}$

$2$×$18=y^{2}$

$y=\sqrt{36}$

$y=$±$6$

side of triangle cannot be negative

So, length of hypotenuse$=6cm$ option (a)