Question

Can y’all help with geo?

Answer 1

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.