Posted by **ian** on Tuesday, January 22, 2013 at 12:44am.

I need help on a question that wants me to find x and y on a 45-45-90 triangle they only give me one side wich is three.I already solved for x which is three root two over two...Is that right? I don't know how to solve for y... Please someone help me....:(

- geometry -
**Reiny**, Tuesday, January 22, 2013 at 8:40am
First we have to be clear where the x and the y are

You have an isosceles right-angled triangle (the 45-45-90)

If you let the hypotenuse be y, then each of the other sides is x

thus :

y^2 = x^2 + x^2

y^2 = 2x^2

if the given is x=3

then y^2 = 2(9) = 18

y = √18 = 3√2

if the given is y = 3

then 9 = 2x^2

3 = x√2

x = 3/√2 which rationalizes to 3√2/2

which is the answer you have.

So you will have to decide where the value of 3 is placed.

## Answer this Question

## Related Questions

- geometry - I need help on a question that wants me to find x and y on a 45-45-90...
- Geometry - In a triangle with integer side lengths, one side is three times as ...
- math - One side of triangle is 10 centimetres, two angles next to that side are ...
- PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY - PLEASE HELP I REALLY NEED ...
- MATHS-geometry - how do you draw an obtuse angle triangle, construct the ...
- begining algebra - One side of a triangle is three times the shortest side. The ...
- alegbra - one side of a triangle is three time the shortest side. The third side...
- Math - One side of the triangle is 2cm longer than the second side. The third ...
- geometry - Rewrite the statement in if-then form. All equilateral triangles have...
- Pre-Algebra - I need help with this one question; can someone please help? Give ...