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Two sides of a right triangle measure 2 units and 4
units.

What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared

Two sides of a right triangle measure 2 units and 4 units What is the area of the square that shares a side with the third side of the triangle units2 2 squared class=

Respuesta :

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]

Have a terrifcly amazing day!