Question

Solve for x. Round to the nearest tenth.
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Answer 1

x ≈ 7.2

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

x² + 12² = 14²

x² + 144 = 196 ( subtract 144 from both sides )

x² = 52 ( take square root of both sides )

x =
`√(52)` ≈ 7.2 ( to the nearest tenth )

Answer 2

7.2

Explanation:

14 = c

12= b

√(c² - b²)

12 x 12 = 144

14 x 14 = 196

196-144 = 52

√(52) = 7.21110255093