Pythagorean Theorem! I slacked off very the Weekend trying to sleep cause I've been overworked
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Answer:
20
Step-by-step explanation:
The Pythagorean Theorem says if you have a right triangle with legs [tex]a \text{ and } b \text{ ,and hypotenuse,} c \text{,}[/tex] then:
[tex]a^2+b^2=c^2[/tex].
You are given leg measurements 12 and 16.
You are given the hypotenuse measurement but are asked to find it.
[tex]12^2+16^2=c^2[/tex]
[tex]144+256=c^2[/tex]
[tex]400=c^2[/tex]
Take square root of both sides:
[tex]20=c[/tex]
Answer:
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
Step-by-step explanation:
therefore, by using the above Pythagorean theorem,
12² + 16² = x²
=> 144 + 256 = x²
=> 400 = x²
=> √400 = x
=> 20.