Question

What is the value of x?​

Answer 1

Answer:

value of x = 6 units

Step-by-step explanation:

here's the solution : -

in the given figure, it's a right angled triangle whose two sides are equal , and we know if two sides are equal then their opposite angles are also equal ,

let the equal angles be y

now,

in the given triangle : -

=》

$y+ y+ 90 = 180$

=》

$2y = 180 - 90$

=》

$y = \frac{90}{2}$

=》

$y = 45$

the equal angles measure 45° each

so, applying trigonometry,

$\sin(45) = \frac{perpendicular}{hypotenuse}$

=》

$\frac{1}{ \sqrt{2} } = \frac{x}{6 \sqrt{2} }$

=》

$x = \frac{6 \sqrt{2} }{ \sqrt{2} }$

=》

$x = 6$

hence, we get value of x = 6 units