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LiRa [457]
3 years ago
5

What is the value of x?​

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

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

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