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Can y’all help with geo?

Can y’all help with geo?-example-1
User Yahni
by
3.8k points

1 Answer

4 votes

Here's the solution,

figure 1.

by using trigonometry,

=》


\sin(60) = (5 √(3) )/(y)

=》


( √(3) )/(2) = (5 √(3) )/(y)

=》


(1)/(y) = ( √(3) )/(2 * 5 √(3) )

=》


(1)/(y) = (1)/(10)

=》


y = 10

And,

=》


\cos(60) = (w)/(y)

=》


(1)/(2) = (w)/(10)

=》


w = 5

So, values are :

  • y = 10
  • w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》


{w}^(2) + {y}^(2) = (7 √(2) ) {}^(2)

=》


{w}^(2) + {w}^(2) = 98

=》


2 {w}^(2) = 98

=》


{w}^(2) = 49

=》


w = √(49)

=》


w = 7

and we know, w = y, so their values will be equal to 7 units.

User ExpExc
by
3.5k points