Question

What is the value of x?

Answer 1

`\huge\underline{ Answer -}`

From the figure ,

it is quite clear that the given triangle is an isosceles , right-angled triangle

Given that , one side of the triangle is of length 3√2 and the other one is of length " x " units.

therefore ,

By applying Pythagoras theorem ,

`x {}^(2) + x {}^(2) = (3 √(2) ) {}^(2) \\ \\ 18 = 2x {}^(2) \\ \\ x {}^(2) = \cancel (18)/(2) = 9 \: units \\ \\ \therefore \: \boxed{x = 3 \: units}`

thus ,

option ( B ) is correct.

hope helpful ~