2 Answers

Rforte · Answer 1 · 2020-09-08T13:24:00+0000

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

Jon Erickson · Answer 2 · 2020-09-10T13:24:10+0000

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

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