Question

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

Answer 1

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 2

Length of the leg b is:

17.2 units

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