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PLEASE HELP!! A.S.A.P!!

The Pythagorean Theorem,
Right triangles Trigonometry

What is the value of X? Leave your answer in simplest Radical form

A.)

2√(5)





B.)

√(6)





C.)

√(10)






D.)

5√(2)




PLEASE HELP!! A.S.A.P!! The Pythagorean Theorem, Right triangles Trigonometry What-example-1
User Maimouna
by
7.3k points

1 Answer

4 votes

Answer:


\large\boxed{A.)\ 2\sqrt5}

Explanation:

The Pythagorean theorem:


leg^2+leg^2=hypotenuse^2

We have


\leg=2\\leg=4\\hypotenuse=x

Substitute:


x^2=2^2+4^2\\\\x^2=4+16\\\\x^2=20\to x=√(20)\\\\x=√(4\cdot5)\\\\x=\sqrt4\cdot\sqrt5\\\\x=2\sqrt5

User Srikanth Gowda
by
6.5k points