Special Right Triangles

[DaRafster]

I've attached a document - I'm stuck on question number 3.

To determine the side lengths of a special right triangle, our class first uses cross multiplication.

As an example, I've also attached my work for number one.



I'm required to use the same method with question number 3 - how would I achieve this?

 

[lev888]

I've attached a document - I'm stuck on question number 3.

To determine the side lengths of a special right triangle, our class first uses cross multiplication.

As an example, I've also attached my work for number one.

View attachment 16362

I'm required to use the same method with question number 3 - how would I achieve this?

#3 and #1 are the same, only the known leg value is different. Just follow the same steps.

 

[DaRafster]

#3 and #1 are the same, only the known leg value is different. Just follow the same steps.

I'm aware of this - perhaps I should have been more clear.

I'm just not quite sure what to do as when I did it, my calculations seemed to be off, in other words - may someone walk me through number 3 with the same steps?

 

[MarkFL]

In a right isosceles triangle (45-45-90) the two legs are equal, and the hypotenuse is \(\sqrt{2}\) times the legs.

So, \(y\) is equal to the given leg, and \(x\) is \(\sqrt{2}\) times the given leg.