slenninjosep9ymuw
slenninjosep9ymuw slenninjosep9ymuw
  • 11-06-2019
  • Mathematics
contestada


Each leg of a 45°-45°-90° triangle measures 12 cm.
What is the length of the hypotenuse?
4
45°
45°
6 cm
62 cm
12 cm
12 cm
12 cm
12V3 cm

Respuesta :

jcherry99
jcherry99 jcherry99
  • 16-06-2019

Answer:

12 sqrt(2)

Step-by-step explanation:

Givens

a = 12 cm

b = 12 cm

c = ??

The triangle is isosceles with 1 right angle and 2 45 degree angles.

Formula

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

c^2 = 144 * 2

c = sqrt(144) * sqrt(2)

c = 12 * sqrt(2)

The answer isn't there. 12*sqrt(2) is the correct answer, 12sqrt(3).

Was this just a typo of some kind.

Answer Link

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