length of hypotenuse (h) of 45-45-90 triangle with legs = 5sr3
The legs of a 45-45-90 triangle are equal since their opposite angles (45) are equal. The ratios for the sides of all 45-45-90 triangles is:
x, x, xsr2
[tex]x \: across \: the \: 45s \: and \: x \sqrt{2} for \: h \\ so \: make \: x = 5 \sqrt{3} [/tex]
[tex]then \: h = x \sqrt{2} = 5 \sqrt{3} \times \sqrt{2} \\ h = 5 \sqrt{3 \times 2} = 5 \sqrt{6} [/tex]
