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Please help! I would appreciate it <3

Please help! I would appreciate it <3-example-1
User Raimue
by
7.5k points

2 Answers

4 votes

Answer:

Final answer is E. 10

Explanation:

Apply Pythagorean theorem to the given right triangle.


\left(Hypotenuse\right)^2=\left(Leg_1\right)^2+\left(Leg_2\right)^2


\left(h\right)^2=\left(5√(2)\right)^2+\left(5√(2)\right)^2


\left(h\right)^2=50+50


\left(h\right)^2=100

take square root of both sides


h=10

Hence final answer is E. 10

User Rforte
by
7.2k points
5 votes

ANSWER

E. 10

EXPLANATION

Using Pythagoras Theorem, which says the hypotenuse squared is equal to the sum of squares of the two shorter legs.


{h}^(2) = {(5 √(2) )}^(2) + {(5 √(2) )}^(2)

Evaluate the squares on the RHS.


{h}^(2) = 25 * 2 + 25 * 2


{h}^(2) = 50 + 50

Simplify:


{h}^(2) = 100

Take positive square root.


h = √(100)


h = 10

The hypotenuse is 10 units.

The correct answer is E

User Jon Erickson
by
8.0k points

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