Question

Find the side length, b.
Round to the nearest tenth.

Answer 1

9.22

Explanation:

Since it's a 90° triangle
`c^(2) =a^(2) +b^(2)`.

In this example they labeled the hypotenuse as b instead of c are equation is still the same just put the correct variables in the right places.

`b = \sqrt{6^(2) +7^(2) }`

b = 9.22

Answer 2

b ≈ 9.2

Explanation:

Using Pythagoras' identity in the right triangle.

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

b² = a² + c² = 6² +7² = 36 + 49 = 85 ( take the square root of both sides )

b =
`√(85)` ≈ 9.2 ( to the nearest tenth )