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For the values a=8 which is a leg of a right triangle and value c=19 which is the hypotenuse find the length of the other leg b to the nearest tenth

Respuesta :

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c^2=a^2+b^2  we are given the hypotenuse of 19 units and one leg of 8 units so:

19^2=8^2+b^2

361=64+b^2

b^2=297

b=√297

b≈17.2 to the nearest tenth

Answer:

Length of the leg b is:

17.2 units

Step-by-step explanation:

We are given that:

The values a=8 which is a leg of a right triangle and value c=19 which is the hypotenuse.

We have to find the length of the other leg b to the nearest tenth.

  By phythagoras theorem

    a²+b²=c²

⇒    8²+b²=19²

⇒      b²=361-64

⇒     b²=297

⇒     b=17.23

Hence, length of the leg b is:

       17.2 units

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