SOLUTION: -Special Right Triangles There's a triangle & on this inside there's a 45degree angle and a squre in a corner saying it's 90degres. On the outside the three sides are marked. 2squ

Algebra ->  Triangles -> SOLUTION: -Special Right Triangles There's a triangle & on this inside there's a 45degree angle and a squre in a corner saying it's 90degres. On the outside the three sides are marked. 2squ      Log On


   



Question 897225: -Special Right Triangles
There's a triangle & on this inside there's a 45degree angle and a squre in a corner saying it's 90degres. On the outside the three sides are marked. 2squareroot of two a & b. How do I find the missing angle?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Type of triangle is 45-45-90.
This is half of a square shape, cut along a diagonal.
Your side labeled 2sqrt%282%29 is the hypotenuse of the triangle, as well as the diagonal length of the square shape from which came this triangle.

The lengths a and b are equal; and you can use Pythagorean Theorem to find their values.

a%5E2%2Bb%5E2=%282sqrt%282%29%29%5E2
a%5E2%2Ba%5E2=4%2A2
2a%5E2=4%2A2
a%5E2=4
a=2 and b=2