Question

Pls help! Step by step:)

Answer 1

x = 15

Explanation:

`\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}`

From inspection of the given right triangle:

• a = 9
• b = 12
• c = x

Substitute the given values into Pythagoras Theorem and solve for x:

`\implies 9^2+12^2=x^2`

`\implies 81+144=x^2`

`\implies 225=x^2`

`\implies √(x^2)=√(225)`

`\implies x=15`

Answer 2

x = 15

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 = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )

x =
`√(225)` = 15