The hypotenuse of a right triangle measures 3 cm and one of its legs measures 2 cm. Find the measure of the other leg. If necessary, round to the nearest tenth?

Respuesta :

Answer:

  2.2 cm

Step-by-step explanation:

You want the measure of the other leg of a right triangle with hypotenuse 3 cm and leg 2 cm.

Pythagorean theorem

For legs 'a' and 'b' and hypotenuse 'c', the Pythagorean theorem tells you the relationship is ...

  a² +b² = c²

In the given triangle, we have a=2, c=3, so b can be found from ...

  2² +b² = 3²

  b = √(3² -2²) = √(9 -4) = √5 ≈ 2.2

The other leg is about 2.2 cm.

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