-9h - 6 + 12h + 40 = 22, simplifying this gives
12h - 9h + 40 - 6 = 22
3h + 34 = 22, taking 34 off both sides gives
3h + 34 - 34 = 22 - 34
3h = -12, thus
h = -12/3 = -4
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-9h-6+12h+40=22 -9h+12h=22-40+6 3h=-12 h=-4
It is: 12h+5h = 17h
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20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
You can plug those values in the pythagorean theorem and find the hypotenuse: h = ((h - 3)2 + (h - 6)2)1/2 ∴ h2 = h2 - 6h + 9 + h2 - 12h + 36 ∴ h2 = 2h2 - 18h + 45 ∴ h2 - 18h + 45 = 0 ∴ (h - 3)(h - 15) = 0 ∴ h = 3, 15 So the length of the hypotenuse will be either 3 or 15. It can't be 3 though, since that would make the other sides 0 and -3, which is impossible. The answer then is 15. The triangle has a hypotenuse of 15, and sides of 12 and 9