Question

Pythagorean Theorem! I slacked off very the Weekend trying to sleep cause I've been overworked

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Answer 1

20

Explanation:

The Pythagorean Theorem says if you have a right triangle with legs
`a \text{ and } b \text{ ,and hypotenuse,} c \text{,}` then:

`a^2+b^2=c^2`.

You are given leg measurements 12 and 16.

You are given the hypotenuse measurement but are asked to find it.

`12^2+16^2=c^2`

`144+256=c^2`

`400=c^2`

Take square root of both sides:

`20=c`

Answer 2

the Pythagorean theorem states that the square of two sides of a right triangle other than the hypotenuse is equal to the square of the hypotenuse

Explanation:

therefore, by using the above Pythagorean theorem,

12² + 16² = x²

=> 144 + 256 = x²

=> 400 = x²

=> √400 = x

=> 20.