Question

What is the value of x?

1/3 (Square root of 2) units
1/2 (Square root of 3) units
2 (Square root of 3) units
3 (Square root of 2) units

Answer 1

`3` (Square root of
`2`) units

Explanation:

we know that

The larger triangle is an isosceles right triangle

so

Applying the Pythagoras Theorem

`6^(2) =x^(2) +x^(2) \\ 36=2x^(2) \\18=x^(2)\\x=√(18)\ units \\x=3√(2)\ units`

Answer 2

the top angle = 45 degrees
x = 3 (Square root of 2) units