How do I solve this problem?
Find the exact value of the length of the side of a 45-45-90 right triangle with a hypotenuse of 15 miles.

Question

How do I solve this problem?
Find the exact value of the length of the side of a 45-45-90 right triangle with a hypotenuse of 15 miles.

misty1212 · Answer

HI!!

misty1212 · Answer

divide by the square root of two

misty1212 · Answer

to find the diagonal if you knew the legs, you would multiply by $\sqrt2$ 
to find the legs if you know the diagonal, you divide by $\sqrt 2$

anonymous · Answer

Oh, okay. Thank you! Is this just for special triangles or whatever, orrr...?

misty1212 · Answer

it is for 45 - 45 -90 because it is like the diagonal of a square

misty1212 · Answer

|dw:1423536853126:dw|

misty1212 · Answer

$$a^2+a^2=h^2\
2a^2=h^2\
\sqrt{2a^2}=h\
a\sqrt2=h$$

anonymous · Answer

Okay.

misty1212 · Answer

$$\color\magenta\heartsuit$$