Question

Help math 2 special triangles​

Answer 1

Explanation:

1) x = y = 4

2) y = 2√4; x^2 = (2√4)^2 + (2√4)^2 = 32 => x = √32 = 4√2

3) x = y = √18 = 3√2

4) y = 2√3; x^2 = y^2 - (√3)^2 = 12 - 3 = 9 => x = 3

5) x = 10√2; y = 20√2

6) x^2 = y*2 = 28^2 / 2 = 784/2 = 392 => x = y = √392 = 14√2

7) x^2 = y^2 = (10√2)^2 / 2 = 200/2 = 100 => x = y = 10

8) y = √192 = 2√48 = 8√3; x = 1/2 * y = 4√3

Answer 2

#1,2,3,6, and 7 use the 45/45 formula (hyp=leg √ 2), and #4,5, and 8 use the 30/60/90 formula’s (hyp=2•short AND long=short √ 3)