Question

Please help! I would appreciate it <3

Answer 1

Answer:

Final answer is E. 10

Step-by-step explanation:

Apply Pythagorean theorem to the given right triangle.

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

$\left(h\right)^2=\left(5\sqrt{2}\right)^2+\left(5\sqrt{2}\right)^2$

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

$\left(h\right)^2=100$

take square root of both sides

$h=10$

Hence final answer is E. 10

Answer 2

ANSWER

E. 10

EXPLANATION

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

${h}^{2} = {(5 \sqrt{2} )}^{2} + {(5 \sqrt{2} )}^{2}$

Evaluate the squares on the RHS.

${h}^{2} = 25 \times 2 + 25 \times 2$

${h}^{2} = 50 + 50$

Simplify:

${h}^{2} = 100$

Take positive square root.

$h = \sqrt{100}$

$h = 10$

The hypotenuse is 10 units.

The correct answer is E