The length of the hypotenuse of a 45°-45°-90° triangle is 10√3 m. Find the length of the legs.

Sagot :

Answer:

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The length of each two other legs is 56 m.

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The 45°- 45°- 90° theorem states that the sides of this special right triangle has a ratio of n : n : n√2, where:

  1. n is the length of a side
  2. n√2 is the length of hypotenuse
  3. If the hypotenuse is 10√3, find the side n:

n√2 = 10√3

n = (10√3)/(√2)

Rationalize:

n = (10√3)(√2)/(√2)(√2)

n = 10(√6)/2

n = 5√6

Final Answer:

The length of each two other legs is 56 m.

Step-by-step explanation:

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