22johnsonjaylin 22johnsonjaylin
  • 09-03-2020
  • Mathematics
contestada

A right triangle has a hypotenuse with a length of 15 units and one leg with a length of 12 units what is the length of the other leg?

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faithnevels1
faithnevels1 faithnevels1
  • 09-03-2020

Answer: the answer is 9 units

Step-by-step explanation:

Answer Link
jimrgrant1 jimrgrant1
  • 09-03-2020

Answer:

9 units

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let x be the length of the other leg, then

x² + 12² = 15², that is

x² + 144 = 225 ( subtract 144 from both sides )

x² = 81 ( take the square root of both sides )

x = [tex]\sqrt{81}[/tex] = 9

Answer Link

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